3x-12+3(x+16)=115-13x

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Solution for 3x-12+3(x+16)=115-13x equation:


Simplifying
3x + -12 + 3(x + 16) = 115 + -13x

Reorder the terms:
3x + -12 + 3(16 + x) = 115 + -13x
3x + -12 + (16 * 3 + x * 3) = 115 + -13x
3x + -12 + (48 + 3x) = 115 + -13x

Reorder the terms:
-12 + 48 + 3x + 3x = 115 + -13x

Combine like terms: -12 + 48 = 36
36 + 3x + 3x = 115 + -13x

Combine like terms: 3x + 3x = 6x
36 + 6x = 115 + -13x

Solving
36 + 6x = 115 + -13x

Solving for variable 'x'.

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

Add '13x' to each side of the equation.
36 + 6x + 13x = 115 + -13x + 13x

Combine like terms: 6x + 13x = 19x
36 + 19x = 115 + -13x + 13x

Combine like terms: -13x + 13x = 0
36 + 19x = 115 + 0
36 + 19x = 115

Add '-36' to each side of the equation.
36 + -36 + 19x = 115 + -36

Combine like terms: 36 + -36 = 0
0 + 19x = 115 + -36
19x = 115 + -36

Combine like terms: 115 + -36 = 79
19x = 79

Divide each side by '19'.
x = 4.157894737

Simplifying
x = 4.157894737

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