3(5x-6)+2x=4-3x-42

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Solution for 3(5x-6)+2x=4-3x-42 equation:


Simplifying
3(5x + -6) + 2x = 4 + -3x + -42

Reorder the terms:
3(-6 + 5x) + 2x = 4 + -3x + -42
(-6 * 3 + 5x * 3) + 2x = 4 + -3x + -42
(-18 + 15x) + 2x = 4 + -3x + -42

Combine like terms: 15x + 2x = 17x
-18 + 17x = 4 + -3x + -42

Reorder the terms:
-18 + 17x = 4 + -42 + -3x

Combine like terms: 4 + -42 = -38
-18 + 17x = -38 + -3x

Solving
-18 + 17x = -38 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-18 + 17x + 3x = -38 + -3x + 3x

Combine like terms: 17x + 3x = 20x
-18 + 20x = -38 + -3x + 3x

Combine like terms: -3x + 3x = 0
-18 + 20x = -38 + 0
-18 + 20x = -38

Add '18' to each side of the equation.
-18 + 18 + 20x = -38 + 18

Combine like terms: -18 + 18 = 0
0 + 20x = -38 + 18
20x = -38 + 18

Combine like terms: -38 + 18 = -20
20x = -20

Divide each side by '20'.
x = -1

Simplifying
x = -1

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