3(6x-5)+2(9-4x)-3(3x+4)=-2

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Solution for 3(6x-5)+2(9-4x)-3(3x+4)=-2 equation:


Simplifying
3(6x + -5) + 2(9 + -4x) + -3(3x + 4) = -2

Reorder the terms:
3(-5 + 6x) + 2(9 + -4x) + -3(3x + 4) = -2
(-5 * 3 + 6x * 3) + 2(9 + -4x) + -3(3x + 4) = -2
(-15 + 18x) + 2(9 + -4x) + -3(3x + 4) = -2
-15 + 18x + (9 * 2 + -4x * 2) + -3(3x + 4) = -2
-15 + 18x + (18 + -8x) + -3(3x + 4) = -2

Reorder the terms:
-15 + 18x + 18 + -8x + -3(4 + 3x) = -2
-15 + 18x + 18 + -8x + (4 * -3 + 3x * -3) = -2
-15 + 18x + 18 + -8x + (-12 + -9x) = -2

Reorder the terms:
-15 + 18 + -12 + 18x + -8x + -9x = -2

Combine like terms: -15 + 18 = 3
3 + -12 + 18x + -8x + -9x = -2

Combine like terms: 3 + -12 = -9
-9 + 18x + -8x + -9x = -2

Combine like terms: 18x + -8x = 10x
-9 + 10x + -9x = -2

Combine like terms: 10x + -9x = 1x
-9 + 1x = -2

Solving
-9 + 1x = -2

Solving for variable 'x'.

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

Add '9' to each side of the equation.
-9 + 9 + 1x = -2 + 9

Combine like terms: -9 + 9 = 0
0 + 1x = -2 + 9
1x = -2 + 9

Combine like terms: -2 + 9 = 7
1x = 7

Divide each side by '1'.
x = 7

Simplifying
x = 7

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