Add the expressions : 8x + 3 and 1 - 7x.

1.	Add the expressions : 8x + 3 and 1 - 7x.
Answer» Simplifying8x + -3 = 7x + 1 Reorder the terms:-3 + 8x = 7x + 1 Reorder the terms:-3 + 8x = 1 + 7x Solving-3 + 8x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation.-3 + 8x + -7x = 1 + 7x + -7x Combine like terms: 8x + -7x = 1x-3 + 1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0-3 + 1x = 1 + 0-3 + 1x = 1 Add '3' to each side of the equation.-3 + 3 + 1x = 1 + 3 Combine like terms: -3 + 3 = 00 + 1x = 1 + 31x = 1 + 3 Combine like terms: 1 + 3 = 41x = 4 Divide each side by '1'.x = 4 Simplifyingx = 4 x+4 is the best answer =(8x+3)+(1-7x)=8x+3+1-7x=8x-7x+3+1=x+4 =(8×+3) +(1-7×)=8×+3+1-7×= 8×-7 × +3 +1=×+4

Answer»

Simplifying8x + -3 = 7x + 1

Reorder the terms:-3 + 8x = 7x + 1

Reorder the terms:-3 + 8x = 1 + 7x

Solving-3 + 8x = 1 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.-3 + 8x + -7x = 1 + 7x + -7x

Combine like terms: 8x + -7x = 1x-3 + 1x = 1 + 7x + -7x

Combine like terms: 7x + -7x = 0-3 + 1x = 1 + 0-3 + 1x = 1

Add '3' to each side of the equation.-3 + 3 + 1x = 1 + 3

Combine like terms: -3 + 3 = 00 + 1x = 1 + 31x = 1 + 3

Combine like terms: 1 + 3 = 41x = 4

Divide each side by '1'.x = 4

Simplifyingx = 4

x+4 is the best answer

=(8x+3)+(1-7x)=8x+3+1-7x=8x-7x+3+1=x+4

=(8×+3) +(1-7×)=8×+3+1-7×= 8×-7 × +3 +1=×+4

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