172-(7x+11)=7(x+8)+x

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Solution for 172-(7x+11)=7(x+8)+x equation:


Simplifying
172 + -1(7x + 11) = 7(x + 8) + x

Reorder the terms:
172 + -1(11 + 7x) = 7(x + 8) + x
172 + (11 * -1 + 7x * -1) = 7(x + 8) + x
172 + (-11 + -7x) = 7(x + 8) + x

Combine like terms: 172 + -11 = 161
161 + -7x = 7(x + 8) + x

Reorder the terms:
161 + -7x = 7(8 + x) + x
161 + -7x = (8 * 7 + x * 7) + x
161 + -7x = (56 + 7x) + x

Combine like terms: 7x + x = 8x
161 + -7x = 56 + 8x

Solving
161 + -7x = 56 + 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.
161 + -7x + -8x = 56 + 8x + -8x

Combine like terms: -7x + -8x = -15x
161 + -15x = 56 + 8x + -8x

Combine like terms: 8x + -8x = 0
161 + -15x = 56 + 0
161 + -15x = 56

Add '-161' to each side of the equation.
161 + -161 + -15x = 56 + -161

Combine like terms: 161 + -161 = 0
0 + -15x = 56 + -161
-15x = 56 + -161

Combine like terms: 56 + -161 = -105
-15x = -105

Divide each side by '-15'.
x = 7

Simplifying
x = 7

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