2(3x-4)=2x+13

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Solution for 2(3x-4)=2x+13 equation:


Simplifying
2(3x + -4) = 2x + 13

Reorder the terms:
2(-4 + 3x) = 2x + 13
(-4 * 2 + 3x * 2) = 2x + 13
(-8 + 6x) = 2x + 13

Reorder the terms:
-8 + 6x = 13 + 2x

Solving
-8 + 6x = 13 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-8 + 6x + -2x = 13 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-8 + 4x = 13 + 2x + -2x

Combine like terms: 2x + -2x = 0
-8 + 4x = 13 + 0
-8 + 4x = 13

Add '8' to each side of the equation.
-8 + 8 + 4x = 13 + 8

Combine like terms: -8 + 8 = 0
0 + 4x = 13 + 8
4x = 13 + 8

Combine like terms: 13 + 8 = 21
4x = 21

Divide each side by '4'.
x = 5.25

Simplifying
x = 5.25

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