8-7(x-1)=2(x+5)-4

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Solution for 8-7(x-1)=2(x+5)-4 equation:


Simplifying
8 + -7(x + -1) = 2(x + 5) + -4

Reorder the terms:
8 + -7(-1 + x) = 2(x + 5) + -4
8 + (-1 * -7 + x * -7) = 2(x + 5) + -4
8 + (7 + -7x) = 2(x + 5) + -4

Combine like terms: 8 + 7 = 15
15 + -7x = 2(x + 5) + -4

Reorder the terms:
15 + -7x = 2(5 + x) + -4
15 + -7x = (5 * 2 + x * 2) + -4
15 + -7x = (10 + 2x) + -4

Reorder the terms:
15 + -7x = 10 + -4 + 2x

Combine like terms: 10 + -4 = 6
15 + -7x = 6 + 2x

Solving
15 + -7x = 6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -7x + -2x = 6 + 2x + -2x

Combine like terms: -7x + -2x = -9x
15 + -9x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -9x = 6 + 0
15 + -9x = 6

Add '-15' to each side of the equation.
15 + -15 + -9x = 6 + -15

Combine like terms: 15 + -15 = 0
0 + -9x = 6 + -15
-9x = 6 + -15

Combine like terms: 6 + -15 = -9
-9x = -9

Divide each side by '-9'.
x = 1

Simplifying
x = 1

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