89-(7x+3)=7(x+8)+x

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Solution for 89-(7x+3)=7(x+8)+x equation:


Simplifying
89 + -1(7x + 3) = 7(x + 8) + x

Reorder the terms:
89 + -1(3 + 7x) = 7(x + 8) + x
89 + (3 * -1 + 7x * -1) = 7(x + 8) + x
89 + (-3 + -7x) = 7(x + 8) + x

Combine like terms: 89 + -3 = 86
86 + -7x = 7(x + 8) + x

Reorder the terms:
86 + -7x = 7(8 + x) + x
86 + -7x = (8 * 7 + x * 7) + x
86 + -7x = (56 + 7x) + x

Combine like terms: 7x + x = 8x
86 + -7x = 56 + 8x

Solving
86 + -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.
86 + -7x + -8x = 56 + 8x + -8x

Combine like terms: -7x + -8x = -15x
86 + -15x = 56 + 8x + -8x

Combine like terms: 8x + -8x = 0
86 + -15x = 56 + 0
86 + -15x = 56

Add '-86' to each side of the equation.
86 + -86 + -15x = 56 + -86

Combine like terms: 86 + -86 = 0
0 + -15x = 56 + -86
-15x = 56 + -86

Combine like terms: 56 + -86 = -30
-15x = -30

Divide each side by '-15'.
x = 2

Simplifying
x = 2

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