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

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Solution for 4(x+2)-3(2x-5)=x+2 equation: 


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

Reorder the terms:
4(2 + x) + -3(2x + -5) = x + 2
(2 * 4 + x * 4) + -3(2x + -5) = x + 2
(8 + 4x) + -3(2x + -5) = x + 2

Reorder the terms:
8 + 4x + -3(-5 + 2x) = x + 2
8 + 4x + (-5 * -3 + 2x * -3) = x + 2
8 + 4x + (15 + -6x) = x + 2

Reorder the terms:
8 + 15 + 4x + -6x = x + 2

Combine like terms: 8 + 15 = 23
23 + 4x + -6x = x + 2

Combine like terms: 4x + -6x = -2x
23 + -2x = x + 2

Reorder the terms:
23 + -2x = 2 + x

Solving
23 + -2x = 2 + 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.
23 + -2x + -1x = 2 + x + -1x

Combine like terms: -2x + -1x = -3x
23 + -3x = 2 + x + -1x

Combine like terms: x + -1x = 0
23 + -3x = 2 + 0
23 + -3x = 2

Add '-23' to each side of the equation.
23 + -23 + -3x = 2 + -23

Combine like terms: 23 + -23 = 0
0 + -3x = 2 + -23
-3x = 2 + -23

Combine like terms: 2 + -23 = -21
-3x = -21

Divide each side by '-3'.
x = 7

Simplifying
x = 7

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