x-4=2(2x-13)

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Solution for x-4=2(2x-13) equation:


Simplifying
x + -4 = 2(2x + -13)

Reorder the terms:
-4 + x = 2(2x + -13)

Reorder the terms:
-4 + x = 2(-13 + 2x)
-4 + x = (-13 * 2 + 2x * 2)
-4 + x = (-26 + 4x)

Solving
-4 + x = -26 + 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.
-4 + x + -4x = -26 + 4x + -4x

Combine like terms: x + -4x = -3x
-4 + -3x = -26 + 4x + -4x

Combine like terms: 4x + -4x = 0
-4 + -3x = -26 + 0
-4 + -3x = -26

Add '4' to each side of the equation.
-4 + 4 + -3x = -26 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = -26 + 4
-3x = -26 + 4

Combine like terms: -26 + 4 = -22
-3x = -22

Divide each side by '-3'.
x = 7.333333333

Simplifying
x = 7.333333333

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