4x-3(-5-3x)=6x-34

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Solution for 4x-3(-5-3x)=6x-34 equation: 


Simplifying
4x + -3(-5 + -3x) = 6x + -34
4x + (-5 * -3 + -3x * -3) = 6x + -34
4x + (15 + 9x) = 6x + -34

Reorder the terms:
15 + 4x + 9x = 6x + -34

Combine like terms: 4x + 9x = 13x
15 + 13x = 6x + -34

Reorder the terms:
15 + 13x = -34 + 6x

Solving
15 + 13x = -34 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
15 + 13x + -6x = -34 + 6x + -6x

Combine like terms: 13x + -6x = 7x
15 + 7x = -34 + 6x + -6x

Combine like terms: 6x + -6x = 0
15 + 7x = -34 + 0
15 + 7x = -34

Add '-15' to each side of the equation.
15 + -15 + 7x = -34 + -15

Combine like terms: 15 + -15 = 0
0 + 7x = -34 + -15
7x = -34 + -15

Combine like terms: -34 + -15 = -49
7x = -49

Divide each side by '7'.
x = -7

Simplifying
x = -7

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