-2x+4=5(x-4)+17

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Solution for -2x+4=5(x-4)+17 equation:


Simplifying
-2x + 4 = 5(x + -4) + 17

Reorder the terms:
4 + -2x = 5(x + -4) + 17

Reorder the terms:
4 + -2x = 5(-4 + x) + 17
4 + -2x = (-4 * 5 + x * 5) + 17
4 + -2x = (-20 + 5x) + 17

Reorder the terms:
4 + -2x = -20 + 17 + 5x

Combine like terms: -20 + 17 = -3
4 + -2x = -3 + 5x

Solving
4 + -2x = -3 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
4 + -2x + -5x = -3 + 5x + -5x

Combine like terms: -2x + -5x = -7x
4 + -7x = -3 + 5x + -5x

Combine like terms: 5x + -5x = 0
4 + -7x = -3 + 0
4 + -7x = -3

Add '-4' to each side of the equation.
4 + -4 + -7x = -3 + -4

Combine like terms: 4 + -4 = 0
0 + -7x = -3 + -4
-7x = -3 + -4

Combine like terms: -3 + -4 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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