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

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


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

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

Remove parenthesis around (-1 + 2x)
-1 + 2x + 2(x + -1) = 4(5x + -3)

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

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

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

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

Reorder the terms:
-3 + 4x = 4(-3 + 5x)
-3 + 4x = (-3 * 4 + 5x * 4)
-3 + 4x = (-12 + 20x)

Solving
-3 + 4x = -12 + 20x

Solving for variable 'x'.

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

Add '-20x' to each side of the equation.
-3 + 4x + -20x = -12 + 20x + -20x

Combine like terms: 4x + -20x = -16x
-3 + -16x = -12 + 20x + -20x

Combine like terms: 20x + -20x = 0
-3 + -16x = -12 + 0
-3 + -16x = -12

Add '3' to each side of the equation.
-3 + 3 + -16x = -12 + 3

Combine like terms: -3 + 3 = 0
0 + -16x = -12 + 3
-16x = -12 + 3

Combine like terms: -12 + 3 = -9
-16x = -9

Divide each side by '-16'.
x = 0.5625

Simplifying
x = 0.5625

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