115-(7x+4)=7(x+3)+x

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Solution for 115-(7x+4)=7(x+3)+x equation:


Simplifying
115 + -1(7x + 4) = 7(x + 3) + x

Reorder the terms:
115 + -1(4 + 7x) = 7(x + 3) + x
115 + (4 * -1 + 7x * -1) = 7(x + 3) + x
115 + (-4 + -7x) = 7(x + 3) + x

Combine like terms: 115 + -4 = 111
111 + -7x = 7(x + 3) + x

Reorder the terms:
111 + -7x = 7(3 + x) + x
111 + -7x = (3 * 7 + x * 7) + x
111 + -7x = (21 + 7x) + x

Combine like terms: 7x + x = 8x
111 + -7x = 21 + 8x

Solving
111 + -7x = 21 + 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.
111 + -7x + -8x = 21 + 8x + -8x

Combine like terms: -7x + -8x = -15x
111 + -15x = 21 + 8x + -8x

Combine like terms: 8x + -8x = 0
111 + -15x = 21 + 0
111 + -15x = 21

Add '-111' to each side of the equation.
111 + -111 + -15x = 21 + -111

Combine like terms: 111 + -111 = 0
0 + -15x = 21 + -111
-15x = 21 + -111

Combine like terms: 21 + -111 = -90
-15x = -90

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

Simplifying
x = 6

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