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

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Solution for 8(x+1)-(3x-7)=8 equation:


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

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

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

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

Combine like terms: 8 + 7 = 15
15 + 8x + -3x = 8

Combine like terms: 8x + -3x = 5x
15 + 5x = 8

Solving
15 + 5x = 8

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 5x = 8 + -15

Combine like terms: 15 + -15 = 0
0 + 5x = 8 + -15
5x = 8 + -15

Combine like terms: 8 + -15 = -7
5x = -7

Divide each side by '5'.
x = -1.4

Simplifying
x = -1.4

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