3(6x-2)+4(18-2x)-3(3x+3)=-5

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Solution for 3(6x-2)+4(18-2x)-3(3x+3)=-5 equation:


Simplifying
3(6x + -2) + 4(18 + -2x) + -3(3x + 3) = -5

Reorder the terms:
3(-2 + 6x) + 4(18 + -2x) + -3(3x + 3) = -5
(-2 * 3 + 6x * 3) + 4(18 + -2x) + -3(3x + 3) = -5
(-6 + 18x) + 4(18 + -2x) + -3(3x + 3) = -5
-6 + 18x + (18 * 4 + -2x * 4) + -3(3x + 3) = -5
-6 + 18x + (72 + -8x) + -3(3x + 3) = -5

Reorder the terms:
-6 + 18x + 72 + -8x + -3(3 + 3x) = -5
-6 + 18x + 72 + -8x + (3 * -3 + 3x * -3) = -5
-6 + 18x + 72 + -8x + (-9 + -9x) = -5

Reorder the terms:
-6 + 72 + -9 + 18x + -8x + -9x = -5

Combine like terms: -6 + 72 = 66
66 + -9 + 18x + -8x + -9x = -5

Combine like terms: 66 + -9 = 57
57 + 18x + -8x + -9x = -5

Combine like terms: 18x + -8x = 10x
57 + 10x + -9x = -5

Combine like terms: 10x + -9x = 1x
57 + 1x = -5

Solving
57 + 1x = -5

Solving for variable 'x'.

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

Add '-57' to each side of the equation.
57 + -57 + 1x = -5 + -57

Combine like terms: 57 + -57 = 0
0 + 1x = -5 + -57
1x = -5 + -57

Combine like terms: -5 + -57 = -62
1x = -62

Divide each side by '1'.
x = -62

Simplifying
x = -62

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