7(x-12)-11=22x-275

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Solution for 7(x-12)-11=22x-275 equation:


Simplifying
7(x + -12) + -11 = 22x + -275

Reorder the terms:
7(-12 + x) + -11 = 22x + -275
(-12 * 7 + x * 7) + -11 = 22x + -275
(-84 + 7x) + -11 = 22x + -275

Reorder the terms:
-84 + -11 + 7x = 22x + -275

Combine like terms: -84 + -11 = -95
-95 + 7x = 22x + -275

Reorder the terms:
-95 + 7x = -275 + 22x

Solving
-95 + 7x = -275 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
-95 + 7x + -22x = -275 + 22x + -22x

Combine like terms: 7x + -22x = -15x
-95 + -15x = -275 + 22x + -22x

Combine like terms: 22x + -22x = 0
-95 + -15x = -275 + 0
-95 + -15x = -275

Add '95' to each side of the equation.
-95 + 95 + -15x = -275 + 95

Combine like terms: -95 + 95 = 0
0 + -15x = -275 + 95
-15x = -275 + 95

Combine like terms: -275 + 95 = -180
-15x = -180

Divide each side by '-15'.
x = 12

Simplifying
x = 12

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