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

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


Simplifying
5x + -3(1 + -2x) = 4(2x + -1)
5x + (1 * -3 + -2x * -3) = 4(2x + -1)
5x + (-3 + 6x) = 4(2x + -1)

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

Combine like terms: 5x + 6x = 11x
-3 + 11x = 4(2x + -1)

Reorder the terms:
-3 + 11x = 4(-1 + 2x)
-3 + 11x = (-1 * 4 + 2x * 4)
-3 + 11x = (-4 + 8x)

Solving
-3 + 11x = -4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-3 + 11x + -8x = -4 + 8x + -8x

Combine like terms: 11x + -8x = 3x
-3 + 3x = -4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + 3x = -4 + 0
-3 + 3x = -4

Add '3' to each side of the equation.
-3 + 3 + 3x = -4 + 3

Combine like terms: -3 + 3 = 0
0 + 3x = -4 + 3
3x = -4 + 3

Combine like terms: -4 + 3 = -1
3x = -1

Divide each side by '3'.
x = -0.3333333333

Simplifying
x = -0.3333333333

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