119-(7x+16)=7(x+4)+x

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Solution for 119-(7x+16)=7(x+4)+x equation:


Simplifying
119 + -1(7x + 16) = 7(x + 4) + x

Reorder the terms:
119 + -1(16 + 7x) = 7(x + 4) + x
119 + (16 * -1 + 7x * -1) = 7(x + 4) + x
119 + (-16 + -7x) = 7(x + 4) + x

Combine like terms: 119 + -16 = 103
103 + -7x = 7(x + 4) + x

Reorder the terms:
103 + -7x = 7(4 + x) + x
103 + -7x = (4 * 7 + x * 7) + x
103 + -7x = (28 + 7x) + x

Combine like terms: 7x + x = 8x
103 + -7x = 28 + 8x

Solving
103 + -7x = 28 + 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.
103 + -7x + -8x = 28 + 8x + -8x

Combine like terms: -7x + -8x = -15x
103 + -15x = 28 + 8x + -8x

Combine like terms: 8x + -8x = 0
103 + -15x = 28 + 0
103 + -15x = 28

Add '-103' to each side of the equation.
103 + -103 + -15x = 28 + -103

Combine like terms: 103 + -103 = 0
0 + -15x = 28 + -103
-15x = 28 + -103

Combine like terms: 28 + -103 = -75
-15x = -75

Divide each side by '-15'.
x = 5

Simplifying
x = 5

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