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

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


Simplifying
-2(x + -3) + 4 = -5x + 2(3x + 5)

Reorder the terms:
-2(-3 + x) + 4 = -5x + 2(3x + 5)
(-3 * -2 + x * -2) + 4 = -5x + 2(3x + 5)
(6 + -2x) + 4 = -5x + 2(3x + 5)

Reorder the terms:
6 + 4 + -2x = -5x + 2(3x + 5)

Combine like terms: 6 + 4 = 10
10 + -2x = -5x + 2(3x + 5)

Reorder the terms:
10 + -2x = -5x + 2(5 + 3x)
10 + -2x = -5x + (5 * 2 + 3x * 2)
10 + -2x = -5x + (10 + 6x)

Reorder the terms:
10 + -2x = 10 + -5x + 6x

Combine like terms: -5x + 6x = 1x
10 + -2x = 10 + 1x

Add '-10' to each side of the equation.
10 + -10 + -2x = 10 + -10 + 1x

Combine like terms: 10 + -10 = 0
0 + -2x = 10 + -10 + 1x
-2x = 10 + -10 + 1x

Combine like terms: 10 + -10 = 0
-2x = 0 + 1x
-2x = 1x

Solving
-2x = 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.
-2x + -1x = 1x + -1x

Combine like terms: -2x + -1x = -3x
-3x = 1x + -1x

Combine like terms: 1x + -1x = 0
-3x = 0

Divide each side by '-3'.
x = 0

Simplifying
x = 0

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