5(x-1)-3(4x+2)=2(2x-1)

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Solution for 5(x-1)-3(4x+2)=2(2x-1) equation:


Simplifying
5(x + -1) + -3(4x + 2) = 2(2x + -1)

Reorder the terms:
5(-1 + x) + -3(4x + 2) = 2(2x + -1)
(-1 * 5 + x * 5) + -3(4x + 2) = 2(2x + -1)
(-5 + 5x) + -3(4x + 2) = 2(2x + -1)

Reorder the terms:
-5 + 5x + -3(2 + 4x) = 2(2x + -1)
-5 + 5x + (2 * -3 + 4x * -3) = 2(2x + -1)
-5 + 5x + (-6 + -12x) = 2(2x + -1)

Reorder the terms:
-5 + -6 + 5x + -12x = 2(2x + -1)

Combine like terms: -5 + -6 = -11
-11 + 5x + -12x = 2(2x + -1)

Combine like terms: 5x + -12x = -7x
-11 + -7x = 2(2x + -1)

Reorder the terms:
-11 + -7x = 2(-1 + 2x)
-11 + -7x = (-1 * 2 + 2x * 2)
-11 + -7x = (-2 + 4x)

Solving
-11 + -7x = -2 + 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.
-11 + -7x + -4x = -2 + 4x + -4x

Combine like terms: -7x + -4x = -11x
-11 + -11x = -2 + 4x + -4x

Combine like terms: 4x + -4x = 0
-11 + -11x = -2 + 0
-11 + -11x = -2

Add '11' to each side of the equation.
-11 + 11 + -11x = -2 + 11

Combine like terms: -11 + 11 = 0
0 + -11x = -2 + 11
-11x = -2 + 11

Combine like terms: -2 + 11 = 9
-11x = 9

Divide each side by '-11'.
x = -0.8181818182

Simplifying
x = -0.8181818182

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