2(2x+3)-3(4x-5)=22.5

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Solution for 2(2x+3)-3(4x-5)=22.5 equation: 


Simplifying
2(2x + 3) + -3(4x + -5) = 22.5

Reorder the terms:
2(3 + 2x) + -3(4x + -5) = 22.5
(3 * 2 + 2x * 2) + -3(4x + -5) = 22.5
(6 + 4x) + -3(4x + -5) = 22.5

Reorder the terms:
6 + 4x + -3(-5 + 4x) = 22.5
6 + 4x + (-5 * -3 + 4x * -3) = 22.5
6 + 4x + (15 + -12x) = 22.5

Reorder the terms:
6 + 15 + 4x + -12x = 22.5

Combine like terms: 6 + 15 = 21
21 + 4x + -12x = 22.5

Combine like terms: 4x + -12x = -8x
21 + -8x = 22.5

Solving
21 + -8x = 22.5

Solving for variable 'x'.

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

Add '-21' to each side of the equation.
21 + -21 + -8x = 22.5 + -21

Combine like terms: 21 + -21 = 0
0 + -8x = 22.5 + -21
-8x = 22.5 + -21

Combine like terms: 22.5 + -21 = 1.5
-8x = 1.5

Divide each side by '-8'.
x = -0.1875

Simplifying
x = -0.1875

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