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

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


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

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

Reorder the terms:
-2 + 4x = 5(-4 + x)
-2 + 4x = (-4 * 5 + x * 5)
-2 + 4x = (-20 + 5x)

Solving
-2 + 4x = -20 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + 4x + -5x = -20 + 5x + -5x

Combine like terms: 4x + -5x = -1x
-2 + -1x = -20 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -1x = -20 + 0
-2 + -1x = -20

Add '2' to each side of the equation.
-2 + 2 + -1x = -20 + 2

Combine like terms: -2 + 2 = 0
0 + -1x = -20 + 2
-1x = -20 + 2

Combine like terms: -20 + 2 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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