6(x-10)+13=5x-38

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Solution for 6(x-10)+13=5x-38 equation:


Simplifying
6(x + -10) + 13 = 5x + -38

Reorder the terms:
6(-10 + x) + 13 = 5x + -38
(-10 * 6 + x * 6) + 13 = 5x + -38
(-60 + 6x) + 13 = 5x + -38

Reorder the terms:
-60 + 13 + 6x = 5x + -38

Combine like terms: -60 + 13 = -47
-47 + 6x = 5x + -38

Reorder the terms:
-47 + 6x = -38 + 5x

Solving
-47 + 6x = -38 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-47 + 6x + -5x = -38 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-47 + 1x = -38 + 5x + -5x

Combine like terms: 5x + -5x = 0
-47 + 1x = -38 + 0
-47 + 1x = -38

Add '47' to each side of the equation.
-47 + 47 + 1x = -38 + 47

Combine like terms: -47 + 47 = 0
0 + 1x = -38 + 47
1x = -38 + 47

Combine like terms: -38 + 47 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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