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

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


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

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

Reorder the terms:
6 + 4x = -7 + 3x

Solving
6 + 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.
6 + 4x + -3x = -7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
6 + 1x = -7 + 3x + -3x

Combine like terms: 3x + -3x = 0
6 + 1x = -7 + 0
6 + 1x = -7

Add '-6' to each side of the equation.
6 + -6 + 1x = -7 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = -7 + -6
1x = -7 + -6

Combine like terms: -7 + -6 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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