x*5+10=x*7-6

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


Simplifying
x * 5 + 10 = x * 7 + -6

Reorder the terms for easier multiplication:
5x + 10 = x * 7 + -6

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

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

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

Solving
10 + 5x = -6 + 7x

Solving for variable 'x'.

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

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

Combine like terms: 5x + -7x = -2x
10 + -2x = -6 + 7x + -7x

Combine like terms: 7x + -7x = 0
10 + -2x = -6 + 0
10 + -2x = -6

Add '-10' to each side of the equation.
10 + -10 + -2x = -6 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = -6 + -10
-2x = -6 + -10

Combine like terms: -6 + -10 = -16
-2x = -16

Divide each side by '-2'.
x = 8

Simplifying
x = 8

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