5x+6=3(2x-4)-10x

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Solution for 5x+6=3(2x-4)-10x equation:


Simplifying
5x + 6 = 3(2x + -4) + -10x

Reorder the terms:
6 + 5x = 3(2x + -4) + -10x

Reorder the terms:
6 + 5x = 3(-4 + 2x) + -10x
6 + 5x = (-4 * 3 + 2x * 3) + -10x
6 + 5x = (-12 + 6x) + -10x

Combine like terms: 6x + -10x = -4x
6 + 5x = -12 + -4x

Solving
6 + 5x = -12 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
6 + 5x + 4x = -12 + -4x + 4x

Combine like terms: 5x + 4x = 9x
6 + 9x = -12 + -4x + 4x

Combine like terms: -4x + 4x = 0
6 + 9x = -12 + 0
6 + 9x = -12

Add '-6' to each side of the equation.
6 + -6 + 9x = -12 + -6

Combine like terms: 6 + -6 = 0
0 + 9x = -12 + -6
9x = -12 + -6

Combine like terms: -12 + -6 = -18
9x = -18

Divide each side by '9'.
x = -2

Simplifying
x = -2

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