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

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


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

Reorder the terms:
-4x + -3(-4 + 3x) + 5 = 3(3x + 5) + -4
-4x + (-4 * -3 + 3x * -3) + 5 = 3(3x + 5) + -4
-4x + (12 + -9x) + 5 = 3(3x + 5) + -4

Reorder the terms:
12 + 5 + -4x + -9x = 3(3x + 5) + -4

Combine like terms: 12 + 5 = 17
17 + -4x + -9x = 3(3x + 5) + -4

Combine like terms: -4x + -9x = -13x
17 + -13x = 3(3x + 5) + -4

Reorder the terms:
17 + -13x = 3(5 + 3x) + -4
17 + -13x = (5 * 3 + 3x * 3) + -4
17 + -13x = (15 + 9x) + -4

Reorder the terms:
17 + -13x = 15 + -4 + 9x

Combine like terms: 15 + -4 = 11
17 + -13x = 11 + 9x

Solving
17 + -13x = 11 + 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 = 11 + 9x + -9x

Combine like terms: -13x + -9x = -22x
17 + -22x = 11 + 9x + -9x

Combine like terms: 9x + -9x = 0
17 + -22x = 11 + 0
17 + -22x = 11

Add '-17' to each side of the equation.
17 + -17 + -22x = 11 + -17

Combine like terms: 17 + -17 = 0
0 + -22x = 11 + -17
-22x = 11 + -17

Combine like terms: 11 + -17 = -6
-22x = -6

Divide each side by '-22'.
x = 0.2727272727

Simplifying
x = 0.2727272727

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