161-(7x+8)=7(x+9)+x

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Solution for 161-(7x+8)=7(x+9)+x equation: 


Simplifying
161 + -1(7x + 8) = 7(x + 9) + x

Reorder the terms:
161 + -1(8 + 7x) = 7(x + 9) + x
161 + (8 * -1 + 7x * -1) = 7(x + 9) + x
161 + (-8 + -7x) = 7(x + 9) + x

Combine like terms: 161 + -8 = 153
153 + -7x = 7(x + 9) + x

Reorder the terms:
153 + -7x = 7(9 + x) + x
153 + -7x = (9 * 7 + x * 7) + x
153 + -7x = (63 + 7x) + x

Combine like terms: 7x + x = 8x
153 + -7x = 63 + 8x

Solving
153 + -7x = 63 + 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.
153 + -7x + -8x = 63 + 8x + -8x

Combine like terms: -7x + -8x = -15x
153 + -15x = 63 + 8x + -8x

Combine like terms: 8x + -8x = 0
153 + -15x = 63 + 0
153 + -15x = 63

Add '-153' to each side of the equation.
153 + -153 + -15x = 63 + -153

Combine like terms: 153 + -153 = 0
0 + -15x = 63 + -153
-15x = 63 + -153

Combine like terms: 63 + -153 = -90
-15x = -90

Divide each side by '-15'.
x = 6

Simplifying
x = 6

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