(5x+16)+(10x-23)=138

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Solution for (5x+16)+(10x-23)=138 equation:


Simplifying
(5x + 16) + (10x + -23) = 138

Reorder the terms:
(16 + 5x) + (10x + -23) = 138

Remove parenthesis around (16 + 5x)
16 + 5x + (10x + -23) = 138

Reorder the terms:
16 + 5x + (-23 + 10x) = 138

Remove parenthesis around (-23 + 10x)
16 + 5x + -23 + 10x = 138

Reorder the terms:
16 + -23 + 5x + 10x = 138

Combine like terms: 16 + -23 = -7
-7 + 5x + 10x = 138

Combine like terms: 5x + 10x = 15x
-7 + 15x = 138

Solving
-7 + 15x = 138

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 15x = 138 + 7

Combine like terms: -7 + 7 = 0
0 + 15x = 138 + 7
15x = 138 + 7

Combine like terms: 138 + 7 = 145
15x = 145

Divide each side by '15'.
x = 9.666666667

Simplifying
x = 9.666666667

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