5x*3-8+2x-4=2+3x*6

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Solution for 5x*3-8+2x-4=2+3x*6 equation:


Simplifying
5x * 3 + -8 + 2x + -4 = 2 + 3x * 6

Reorder the terms for easier multiplication:
5 * 3x + -8 + 2x + -4 = 2 + 3x * 6

Multiply 5 * 3
15x + -8 + 2x + -4 = 2 + 3x * 6

Reorder the terms:
-8 + -4 + 15x + 2x = 2 + 3x * 6

Combine like terms: -8 + -4 = -12
-12 + 15x + 2x = 2 + 3x * 6

Combine like terms: 15x + 2x = 17x
-12 + 17x = 2 + 3x * 6

Reorder the terms for easier multiplication:
-12 + 17x = 2 + 3 * 6x

Multiply 3 * 6
-12 + 17x = 2 + 18x

Solving
-12 + 17x = 2 + 18x

Solving for variable 'x'.

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

Add '-18x' to each side of the equation.
-12 + 17x + -18x = 2 + 18x + -18x

Combine like terms: 17x + -18x = -1x
-12 + -1x = 2 + 18x + -18x

Combine like terms: 18x + -18x = 0
-12 + -1x = 2 + 0
-12 + -1x = 2

Add '12' to each side of the equation.
-12 + 12 + -1x = 2 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 2 + 12
-1x = 2 + 12

Combine like terms: 2 + 12 = 14
-1x = 14

Divide each side by '-1'.
x = -14

Simplifying
x = -14

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