2(2x-1)+3(3x-5)=9x-8

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Solution for 2(2x-1)+3(3x-5)=9x-8 equation:


Simplifying
2(2x + -1) + 3(3x + -5) = 9x + -8

Reorder the terms:
2(-1 + 2x) + 3(3x + -5) = 9x + -8
(-1 * 2 + 2x * 2) + 3(3x + -5) = 9x + -8
(-2 + 4x) + 3(3x + -5) = 9x + -8

Reorder the terms:
-2 + 4x + 3(-5 + 3x) = 9x + -8
-2 + 4x + (-5 * 3 + 3x * 3) = 9x + -8
-2 + 4x + (-15 + 9x) = 9x + -8

Reorder the terms:
-2 + -15 + 4x + 9x = 9x + -8

Combine like terms: -2 + -15 = -17
-17 + 4x + 9x = 9x + -8

Combine like terms: 4x + 9x = 13x
-17 + 13x = 9x + -8

Reorder the terms:
-17 + 13x = -8 + 9x

Solving
-17 + 13x = -8 + 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.
-17 + 13x + -9x = -8 + 9x + -9x

Combine like terms: 13x + -9x = 4x
-17 + 4x = -8 + 9x + -9x

Combine like terms: 9x + -9x = 0
-17 + 4x = -8 + 0
-17 + 4x = -8

Add '17' to each side of the equation.
-17 + 17 + 4x = -8 + 17

Combine like terms: -17 + 17 = 0
0 + 4x = -8 + 17
4x = -8 + 17

Combine like terms: -8 + 17 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25

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