2(2x+3)=3(x-1)+7

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Solution for 2(2x+3)=3(x-1)+7 equation: 


Simplifying
2(2x + 3) = 3(x + -1) + 7

Reorder the terms:
2(3 + 2x) = 3(x + -1) + 7
(3 * 2 + 2x * 2) = 3(x + -1) + 7
(6 + 4x) = 3(x + -1) + 7

Reorder the terms:
6 + 4x = 3(-1 + x) + 7
6 + 4x = (-1 * 3 + x * 3) + 7
6 + 4x = (-3 + 3x) + 7

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

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

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

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

Combine like terms: 3x + -3x = 0
6 + 1x = 4 + 0
6 + 1x = 4

Add '-6' to each side of the equation.
6 + -6 + 1x = 4 + -6

Combine like terms: 6 + -6 = 0
0 + 1x = 4 + -6
1x = 4 + -6

Combine like terms: 4 + -6 = -2
1x = -2

Divide each side by '1'.
x = -2

Simplifying
x = -2

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