7(x-4)-3=-5(-2x+8)-9x

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Solution for 7(x-4)-3=-5(-2x+8)-9x equation:


Simplifying
7(x + -4) + -3 = -5(-2x + 8) + -9x

Reorder the terms:
7(-4 + x) + -3 = -5(-2x + 8) + -9x
(-4 * 7 + x * 7) + -3 = -5(-2x + 8) + -9x
(-28 + 7x) + -3 = -5(-2x + 8) + -9x

Reorder the terms:
-28 + -3 + 7x = -5(-2x + 8) + -9x

Combine like terms: -28 + -3 = -31
-31 + 7x = -5(-2x + 8) + -9x

Reorder the terms:
-31 + 7x = -5(8 + -2x) + -9x
-31 + 7x = (8 * -5 + -2x * -5) + -9x
-31 + 7x = (-40 + 10x) + -9x

Combine like terms: 10x + -9x = 1x
-31 + 7x = -40 + 1x

Solving
-31 + 7x = -40 + 1x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
-31 + 7x + -1x = -40 + 1x + -1x

Combine like terms: 7x + -1x = 6x
-31 + 6x = -40 + 1x + -1x

Combine like terms: 1x + -1x = 0
-31 + 6x = -40 + 0
-31 + 6x = -40

Add '31' to each side of the equation.
-31 + 31 + 6x = -40 + 31

Combine like terms: -31 + 31 = 0
0 + 6x = -40 + 31
6x = -40 + 31

Combine like terms: -40 + 31 = -9
6x = -9

Divide each side by '6'.
x = -1.5

Simplifying
x = -1.5

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