3[-x+45]=6[2x-30]

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Solution for 3[-x+45]=6[2x-30] equation: 


Simplifying
3[-1x + 45] = 6[2x + -30]

Reorder the terms:
3[45 + -1x] = 6[2x + -30]
[45 * 3 + -1x * 3] = 6[2x + -30]
[135 + -3x] = 6[2x + -30]

Reorder the terms:
135 + -3x = 6[-30 + 2x]
135 + -3x = [-30 * 6 + 2x * 6]
135 + -3x = [-180 + 12x]

Solving
135 + -3x = -180 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
135 + -3x + -12x = -180 + 12x + -12x

Combine like terms: -3x + -12x = -15x
135 + -15x = -180 + 12x + -12x

Combine like terms: 12x + -12x = 0
135 + -15x = -180 + 0
135 + -15x = -180

Add '-135' to each side of the equation.
135 + -135 + -15x = -180 + -135

Combine like terms: 135 + -135 = 0
0 + -15x = -180 + -135
-15x = -180 + -135

Combine like terms: -180 + -135 = -315
-15x = -315

Divide each side by '-15'.
x = 21

Simplifying
x = 21

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