-3(4x-1)+9x=4+3(5x-5)

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Solution for -3(4x-1)+9x=4+3(5x-5) equation:


Simplifying
-3(4x + -1) + 9x = 4 + 3(5x + -5)

Reorder the terms:
-3(-1 + 4x) + 9x = 4 + 3(5x + -5)
(-1 * -3 + 4x * -3) + 9x = 4 + 3(5x + -5)
(3 + -12x) + 9x = 4 + 3(5x + -5)

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

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

Combine like terms: 4 + -15 = -11
3 + -3x = -11 + 15x

Solving
3 + -3x = -11 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
3 + -3x + -15x = -11 + 15x + -15x

Combine like terms: -3x + -15x = -18x
3 + -18x = -11 + 15x + -15x

Combine like terms: 15x + -15x = 0
3 + -18x = -11 + 0
3 + -18x = -11

Add '-3' to each side of the equation.
3 + -3 + -18x = -11 + -3

Combine like terms: 3 + -3 = 0
0 + -18x = -11 + -3
-18x = -11 + -3

Combine like terms: -11 + -3 = -14
-18x = -14

Divide each side by '-18'.
x = 0.7777777778

Simplifying
x = 0.7777777778

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