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

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


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

Reorder the terms:
3(4 + 5x) = x + (x + -2)
(4 * 3 + 5x * 3) = x + (x + -2)
(12 + 15x) = x + (x + -2)

Reorder the terms:
12 + 15x = x + (-2 + x)

Remove parenthesis around (-2 + x)
12 + 15x = x + -2 + x

Reorder the terms:
12 + 15x = -2 + x + x

Combine like terms: x + x = 2x
12 + 15x = -2 + 2x

Solving
12 + 15x = -2 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
12 + 15x + -2x = -2 + 2x + -2x

Combine like terms: 15x + -2x = 13x
12 + 13x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
12 + 13x = -2 + 0
12 + 13x = -2

Add '-12' to each side of the equation.
12 + -12 + 13x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + 13x = -2 + -12
13x = -2 + -12

Combine like terms: -2 + -12 = -14
13x = -14

Divide each side by '13'.
x = -1.076923077

Simplifying
x = -1.076923077

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