2(2x-1)-3(x+2)=36

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Solution for 2(2x-1)-3(x+2)=36 equation: 


Simplifying
2(2x + -1) + -3(x + 2) = 36

Reorder the terms:
2(-1 + 2x) + -3(x + 2) = 36
(-1 * 2 + 2x * 2) + -3(x + 2) = 36
(-2 + 4x) + -3(x + 2) = 36

Reorder the terms:
-2 + 4x + -3(2 + x) = 36
-2 + 4x + (2 * -3 + x * -3) = 36
-2 + 4x + (-6 + -3x) = 36

Reorder the terms:
-2 + -6 + 4x + -3x = 36

Combine like terms: -2 + -6 = -8
-8 + 4x + -3x = 36

Combine like terms: 4x + -3x = 1x
-8 + 1x = 36

Solving
-8 + 1x = 36

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 8 + 1x = 36 + 8

Combine like terms: -8 + 8 = 0
0 + 1x = 36 + 8
1x = 36 + 8

Combine like terms: 36 + 8 = 44
1x = 44

Divide each side by '1'.
x = 44

Simplifying
x = 44

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