-7x+4=-x-8+5(2-3x)

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Solution for -7x+4=-x-8+5(2-3x) equation:


Simplifying
-7x + 4 = -1x + -8 + 5(2 + -3x)

Reorder the terms:
4 + -7x = -1x + -8 + 5(2 + -3x)
4 + -7x = -1x + -8 + (2 * 5 + -3x * 5)
4 + -7x = -1x + -8 + (10 + -15x)

Reorder the terms:
4 + -7x = -8 + 10 + -1x + -15x

Combine like terms: -8 + 10 = 2
4 + -7x = 2 + -1x + -15x

Combine like terms: -1x + -15x = -16x
4 + -7x = 2 + -16x

Solving
4 + -7x = 2 + -16x

Solving for variable 'x'.

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

Add '16x' to each side of the equation.
4 + -7x + 16x = 2 + -16x + 16x

Combine like terms: -7x + 16x = 9x
4 + 9x = 2 + -16x + 16x

Combine like terms: -16x + 16x = 0
4 + 9x = 2 + 0
4 + 9x = 2

Add '-4' to each side of the equation.
4 + -4 + 9x = 2 + -4

Combine like terms: 4 + -4 = 0
0 + 9x = 2 + -4
9x = 2 + -4

Combine like terms: 2 + -4 = -2
9x = -2

Divide each side by '9'.
x = -0.2222222222

Simplifying
x = -0.2222222222

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