2(x+2)-3(2x-5)=x+7

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Solution for 2(x+2)-3(2x-5)=x+7 equation: 


Simplifying
2(x + 2) + -3(2x + -5) = x + 7

Reorder the terms:
2(2 + x) + -3(2x + -5) = x + 7
(2 * 2 + x * 2) + -3(2x + -5) = x + 7
(4 + 2x) + -3(2x + -5) = x + 7

Reorder the terms:
4 + 2x + -3(-5 + 2x) = x + 7
4 + 2x + (-5 * -3 + 2x * -3) = x + 7
4 + 2x + (15 + -6x) = x + 7

Reorder the terms:
4 + 15 + 2x + -6x = x + 7

Combine like terms: 4 + 15 = 19
19 + 2x + -6x = x + 7

Combine like terms: 2x + -6x = -4x
19 + -4x = x + 7

Reorder the terms:
19 + -4x = 7 + x

Solving
19 + -4x = 7 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
19 + -4x + -1x = 7 + x + -1x

Combine like terms: -4x + -1x = -5x
19 + -5x = 7 + x + -1x

Combine like terms: x + -1x = 0
19 + -5x = 7 + 0
19 + -5x = 7

Add '-19' to each side of the equation.
19 + -19 + -5x = 7 + -19

Combine like terms: 19 + -19 = 0
0 + -5x = 7 + -19
-5x = 7 + -19

Combine like terms: 7 + -19 = -12
-5x = -12

Divide each side by '-5'.
x = 2.4

Simplifying
x = 2.4

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