2x+-5x+4=2(x-1)+16

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Solution for 2x+-5x+4=2(x-1)+16 equation:


Simplifying
2x + -5x + 4 = 2(x + -1) + 16

Reorder the terms:
4 + 2x + -5x = 2(x + -1) + 16

Combine like terms: 2x + -5x = -3x
4 + -3x = 2(x + -1) + 16

Reorder the terms:
4 + -3x = 2(-1 + x) + 16
4 + -3x = (-1 * 2 + x * 2) + 16
4 + -3x = (-2 + 2x) + 16

Reorder the terms:
4 + -3x = -2 + 16 + 2x

Combine like terms: -2 + 16 = 14
4 + -3x = 14 + 2x

Solving
4 + -3x = 14 + 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.
4 + -3x + -2x = 14 + 2x + -2x

Combine like terms: -3x + -2x = -5x
4 + -5x = 14 + 2x + -2x

Combine like terms: 2x + -2x = 0
4 + -5x = 14 + 0
4 + -5x = 14

Add '-4' to each side of the equation.
4 + -4 + -5x = 14 + -4

Combine like terms: 4 + -4 = 0
0 + -5x = 14 + -4
-5x = 14 + -4

Combine like terms: 14 + -4 = 10
-5x = 10

Divide each side by '-5'.
x = -2

Simplifying
x = -2

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