10(x+7)=11x+75

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Solution for 10(x+7)=11x+75 equation:


Simplifying
10(x + 7) = 11x + 75

Reorder the terms:
10(7 + x) = 11x + 75
(7 * 10 + x * 10) = 11x + 75
(70 + 10x) = 11x + 75

Reorder the terms:
70 + 10x = 75 + 11x

Solving
70 + 10x = 75 + 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.
70 + 10x + -11x = 75 + 11x + -11x

Combine like terms: 10x + -11x = -1x
70 + -1x = 75 + 11x + -11x

Combine like terms: 11x + -11x = 0
70 + -1x = 75 + 0
70 + -1x = 75

Add '-70' to each side of the equation.
70 + -70 + -1x = 75 + -70

Combine like terms: 70 + -70 = 0
0 + -1x = 75 + -70
-1x = 75 + -70

Combine like terms: 75 + -70 = 5
-1x = 5

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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