2(3x-1)-2(5x+1)=7x

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Solution for 2(3x-1)-2(5x+1)=7x equation:


Simplifying
2(3x + -1) + -2(5x + 1) = 7x

Reorder the terms:
2(-1 + 3x) + -2(5x + 1) = 7x
(-1 * 2 + 3x * 2) + -2(5x + 1) = 7x
(-2 + 6x) + -2(5x + 1) = 7x

Reorder the terms:
-2 + 6x + -2(1 + 5x) = 7x
-2 + 6x + (1 * -2 + 5x * -2) = 7x
-2 + 6x + (-2 + -10x) = 7x

Reorder the terms:
-2 + -2 + 6x + -10x = 7x

Combine like terms: -2 + -2 = -4
-4 + 6x + -10x = 7x

Combine like terms: 6x + -10x = -4x
-4 + -4x = 7x

Solving
-4 + -4x = 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-4 + -4x + -7x = 7x + -7x

Combine like terms: -4x + -7x = -11x
-4 + -11x = 7x + -7x

Combine like terms: 7x + -7x = 0
-4 + -11x = 0

Add '4' to each side of the equation.
-4 + 4 + -11x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -11x = 0 + 4
-11x = 0 + 4

Combine like terms: 0 + 4 = 4
-11x = 4

Divide each side by '-11'.
x = -0.3636363636

Simplifying
x = -0.3636363636

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