5x+10=6x-7

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Solution for 5x+10=6x-7 equation:


Simplifying
5x + 10 = 6x + -7

Reorder the terms:
10 + 5x = 6x + -7

Reorder the terms:
10 + 5x = -7 + 6x

Solving
10 + 5x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 5x + -6x = -7 + 6x + -6x

Combine like terms: 5x + -6x = -1x
10 + -1x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -1x = -7 + 0
10 + -1x = -7

Add '-10' to each side of the equation.
10 + -10 + -1x = -7 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = -7 + -10
-1x = -7 + -10

Combine like terms: -7 + -10 = -17
-1x = -17

Divide each side by '-1'.
x = 17

Simplifying
x = 17

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