-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

Reorder the terms for easier multiplication:
17 + -13x = 3 * -4(5 + 3x)

Multiply 3 * -4
17 + -13x = -12(5 + 3x)
17 + -13x = (5 * -12 + 3x * -12)
17 + -13x = (-60 + -36x)

Solving
17 + -13x = -60 + -36x

Solving for variable 'x'.

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

Add '36x' to each side of the equation.
17 + -13x + 36x = -60 + -36x + 36x

Combine like terms: -13x + 36x = 23x
17 + 23x = -60 + -36x + 36x

Combine like terms: -36x + 36x = 0
17 + 23x = -60 + 0
17 + 23x = -60

Add '-17' to each side of the equation.
17 + -17 + 23x = -60 + -17

Combine like terms: 17 + -17 = 0
0 + 23x = -60 + -17
23x = -60 + -17

Combine like terms: -60 + -17 = -77
23x = -77

Divide each side by '23'.
x = -3.347826087

Simplifying
x = -3.347826087

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