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

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


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

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

Reorder the terms:
7 = -8 + -5x + 8x

Combine like terms: -5x + 8x = 3x
7 = -8 + 3x

Solving
7 = -8 + 3x

Solving for variable 'x'.

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

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

Combine like terms: 3x + -3x = 0
7 + -3x = -8 + 0
7 + -3x = -8

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

Combine like terms: 7 + -7 = 0
0 + -3x = -8 + -7
-3x = -8 + -7

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

Divide each side by '-3'.
x = 5

Simplifying
x = 5

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