5x-19+13x=2(x+5)-12

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Solution for 5x-19+13x=2(x+5)-12 equation:


Simplifying
5x + -19 + 13x = 2(x + 5) + -12

Reorder the terms:
-19 + 5x + 13x = 2(x + 5) + -12

Combine like terms: 5x + 13x = 18x
-19 + 18x = 2(x + 5) + -12

Reorder the terms:
-19 + 18x = 2(5 + x) + -12
-19 + 18x = (5 * 2 + x * 2) + -12
-19 + 18x = (10 + 2x) + -12

Reorder the terms:
-19 + 18x = 10 + -12 + 2x

Combine like terms: 10 + -12 = -2
-19 + 18x = -2 + 2x

Solving
-19 + 18x = -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.
-19 + 18x + -2x = -2 + 2x + -2x

Combine like terms: 18x + -2x = 16x
-19 + 16x = -2 + 2x + -2x

Combine like terms: 2x + -2x = 0
-19 + 16x = -2 + 0
-19 + 16x = -2

Add '19' to each side of the equation.
-19 + 19 + 16x = -2 + 19

Combine like terms: -19 + 19 = 0
0 + 16x = -2 + 19
16x = -2 + 19

Combine like terms: -2 + 19 = 17
16x = 17

Divide each side by '16'.
x = 1.0625

Simplifying
x = 1.0625

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