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

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


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

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

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

Reorder the terms:
4 + -6x = -3 + -5(-3 + 2x)
4 + -6x = -3 + (-3 * -5 + 2x * -5)
4 + -6x = -3 + (15 + -10x)

Combine like terms: -3 + 15 = 12
4 + -6x = 12 + -10x

Solving
4 + -6x = 12 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
4 + -6x + 10x = 12 + -10x + 10x

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

Combine like terms: -10x + 10x = 0
4 + 4x = 12 + 0
4 + 4x = 12

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

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

Combine like terms: 12 + -4 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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