3(6x-5)-(2x+3)+12=-28

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Solution for 3(6x-5)-(2x+3)+12=-28 equation: 


Simplifying
3(6x + -5) + -1(2x + 3) + 12 = -28

Reorder the terms:
3(-5 + 6x) + -1(2x + 3) + 12 = -28
(-5 * 3 + 6x * 3) + -1(2x + 3) + 12 = -28
(-15 + 18x) + -1(2x + 3) + 12 = -28

Reorder the terms:
-15 + 18x + -1(3 + 2x) + 12 = -28
-15 + 18x + (3 * -1 + 2x * -1) + 12 = -28
-15 + 18x + (-3 + -2x) + 12 = -28

Reorder the terms:
-15 + -3 + 12 + 18x + -2x = -28

Combine like terms: -15 + -3 = -18
-18 + 12 + 18x + -2x = -28

Combine like terms: -18 + 12 = -6
-6 + 18x + -2x = -28

Combine like terms: 18x + -2x = 16x
-6 + 16x = -28

Solving
-6 + 16x = -28

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 16x = -28 + 6

Combine like terms: -6 + 6 = 0
0 + 16x = -28 + 6
16x = -28 + 6

Combine like terms: -28 + 6 = -22
16x = -22

Divide each side by '16'.
x = -1.375

Simplifying
x = -1.375

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