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

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


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

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

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

Reorder the terms:
-5 + 10x = -3(-3 + 4x) + 6x
-5 + 10x = (-3 * -3 + 4x * -3) + 6x
-5 + 10x = (9 + -12x) + 6x

Combine like terms: -12x + 6x = -6x
-5 + 10x = 9 + -6x

Solving
-5 + 10x = 9 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
-5 + 10x + 6x = 9 + -6x + 6x

Combine like terms: 10x + 6x = 16x
-5 + 16x = 9 + -6x + 6x

Combine like terms: -6x + 6x = 0
-5 + 16x = 9 + 0
-5 + 16x = 9

Add '5' to each side of the equation.
-5 + 5 + 16x = 9 + 5

Combine like terms: -5 + 5 = 0
0 + 16x = 9 + 5
16x = 9 + 5

Combine like terms: 9 + 5 = 14
16x = 14

Divide each side by '16'.
x = 0.875

Simplifying
x = 0.875

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