2(2x+5)-3(3x-4)=9x+15

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Solution for 2(2x+5)-3(3x-4)=9x+15 equation:


Simplifying
2(2x + 5) + -3(3x + -4) = 9x + 15

Reorder the terms:
2(5 + 2x) + -3(3x + -4) = 9x + 15
(5 * 2 + 2x * 2) + -3(3x + -4) = 9x + 15
(10 + 4x) + -3(3x + -4) = 9x + 15

Reorder the terms:
10 + 4x + -3(-4 + 3x) = 9x + 15
10 + 4x + (-4 * -3 + 3x * -3) = 9x + 15
10 + 4x + (12 + -9x) = 9x + 15

Reorder the terms:
10 + 12 + 4x + -9x = 9x + 15

Combine like terms: 10 + 12 = 22
22 + 4x + -9x = 9x + 15

Combine like terms: 4x + -9x = -5x
22 + -5x = 9x + 15

Reorder the terms:
22 + -5x = 15 + 9x

Solving
22 + -5x = 15 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
22 + -5x + -9x = 15 + 9x + -9x

Combine like terms: -5x + -9x = -14x
22 + -14x = 15 + 9x + -9x

Combine like terms: 9x + -9x = 0
22 + -14x = 15 + 0
22 + -14x = 15

Add '-22' to each side of the equation.
22 + -22 + -14x = 15 + -22

Combine like terms: 22 + -22 = 0
0 + -14x = 15 + -22
-14x = 15 + -22

Combine like terms: 15 + -22 = -7
-14x = -7

Divide each side by '-14'.
x = 0.5

Simplifying
x = 0.5

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