10x+4=11x-7

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Solution for 10x+4=11x-7 equation: 


Simplifying
10x + 4 = 11x + -7

Reorder the terms:
4 + 10x = 11x + -7

Reorder the terms:
4 + 10x = -7 + 11x

Solving
4 + 10x = -7 + 11x

Solving for variable 'x'.

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

Add '-11x' to each side of the equation.
4 + 10x + -11x = -7 + 11x + -11x

Combine like terms: 10x + -11x = -1x
4 + -1x = -7 + 11x + -11x

Combine like terms: 11x + -11x = 0
4 + -1x = -7 + 0
4 + -1x = -7

Add '-4' to each side of the equation.
4 + -4 + -1x = -7 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = -7 + -4
-1x = -7 + -4

Combine like terms: -7 + -4 = -11
-1x = -11

Divide each side by '-1'.
x = 11

Simplifying
x = 11

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