11(x-10)-7=29x-207

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Solution for 11(x-10)-7=29x-207 equation:


Simplifying
11(x + -10) + -7 = 29x + -207

Reorder the terms:
11(-10 + x) + -7 = 29x + -207
(-10 * 11 + x * 11) + -7 = 29x + -207
(-110 + 11x) + -7 = 29x + -207

Reorder the terms:
-110 + -7 + 11x = 29x + -207

Combine like terms: -110 + -7 = -117
-117 + 11x = 29x + -207

Reorder the terms:
-117 + 11x = -207 + 29x

Solving
-117 + 11x = -207 + 29x

Solving for variable 'x'.

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

Add '-29x' to each side of the equation.
-117 + 11x + -29x = -207 + 29x + -29x

Combine like terms: 11x + -29x = -18x
-117 + -18x = -207 + 29x + -29x

Combine like terms: 29x + -29x = 0
-117 + -18x = -207 + 0
-117 + -18x = -207

Add '117' to each side of the equation.
-117 + 117 + -18x = -207 + 117

Combine like terms: -117 + 117 = 0
0 + -18x = -207 + 117
-18x = -207 + 117

Combine like terms: -207 + 117 = -90
-18x = -90

Divide each side by '-18'.
x = 5

Simplifying
x = 5

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