2(2x-6)=3x+7

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Solution for 2(2x-6)=3x+7 equation:


Simplifying
2(2x + -6) = 3x + 7

Reorder the terms:
2(-6 + 2x) = 3x + 7
(-6 * 2 + 2x * 2) = 3x + 7
(-12 + 4x) = 3x + 7

Reorder the terms:
-12 + 4x = 7 + 3x

Solving
-12 + 4x = 7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-12 + 4x + -3x = 7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
-12 + 1x = 7 + 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + 1x = 7 + 0
-12 + 1x = 7

Add '12' to each side of the equation.
-12 + 12 + 1x = 7 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = 7 + 12
1x = 7 + 12

Combine like terms: 7 + 12 = 19
1x = 19

Divide each side by '1'.
x = 19

Simplifying
x = 19

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