7x-10=8x+11

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Solution for 7x-10=8x+11 equation:


Simplifying
7x + -10 = 8x + 11

Reorder the terms:
-10 + 7x = 8x + 11

Reorder the terms:
-10 + 7x = 11 + 8x

Solving
-10 + 7x = 11 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-10 + 7x + -8x = 11 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-10 + -1x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-10 + -1x = 11 + 0
-10 + -1x = 11

Add '10' to each side of the equation.
-10 + 10 + -1x = 11 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = 11 + 10
-1x = 11 + 10

Combine like terms: 11 + 10 = 21
-1x = 21

Divide each side by '-1'.
x = -21

Simplifying
x = -21

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