3x+12-2=3(5x+7)

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Solution for 3x+12-2=3(5x+7) equation:


Simplifying
3x + 12 + -2 = 3(5x + 7)

Reorder the terms:
12 + -2 + 3x = 3(5x + 7)

Combine like terms: 12 + -2 = 10
10 + 3x = 3(5x + 7)

Reorder the terms:
10 + 3x = 3(7 + 5x)
10 + 3x = (7 * 3 + 5x * 3)
10 + 3x = (21 + 15x)

Solving
10 + 3x = 21 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
10 + 3x + -15x = 21 + 15x + -15x

Combine like terms: 3x + -15x = -12x
10 + -12x = 21 + 15x + -15x

Combine like terms: 15x + -15x = 0
10 + -12x = 21 + 0
10 + -12x = 21

Add '-10' to each side of the equation.
10 + -10 + -12x = 21 + -10

Combine like terms: 10 + -10 = 0
0 + -12x = 21 + -10
-12x = 21 + -10

Combine like terms: 21 + -10 = 11
-12x = 11

Divide each side by '-12'.
x = -0.9166666667

Simplifying
x = -0.9166666667

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