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

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


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

Reorder the terms:
5(-6 + 2x) = -4(5 + -2x) + 3x
(-6 * 5 + 2x * 5) = -4(5 + -2x) + 3x
(-30 + 10x) = -4(5 + -2x) + 3x
-30 + 10x = (5 * -4 + -2x * -4) + 3x
-30 + 10x = (-20 + 8x) + 3x

Combine like terms: 8x + 3x = 11x
-30 + 10x = -20 + 11x

Solving
-30 + 10x = -20 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
-30 + 10x + -11x = -20 + 11x + -11x

Combine like terms: 10x + -11x = -1x
-30 + -1x = -20 + 11x + -11x

Combine like terms: 11x + -11x = 0
-30 + -1x = -20 + 0
-30 + -1x = -20

Add '30' to each side of the equation.
-30 + 30 + -1x = -20 + 30

Combine like terms: -30 + 30 = 0
0 + -1x = -20 + 30
-1x = -20 + 30

Combine like terms: -20 + 30 = 10
-1x = 10

Divide each side by '-1'.
x = -10

Simplifying
x = -10

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