103-(6x+16)=6(x+8)+x

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Solution for 103-(6x+16)=6(x+8)+x equation:


Simplifying
103 + -1(6x + 16) = 6(x + 8) + x

Reorder the terms:
103 + -1(16 + 6x) = 6(x + 8) + x
103 + (16 * -1 + 6x * -1) = 6(x + 8) + x
103 + (-16 + -6x) = 6(x + 8) + x

Combine like terms: 103 + -16 = 87
87 + -6x = 6(x + 8) + x

Reorder the terms:
87 + -6x = 6(8 + x) + x
87 + -6x = (8 * 6 + x * 6) + x
87 + -6x = (48 + 6x) + x

Combine like terms: 6x + x = 7x
87 + -6x = 48 + 7x

Solving
87 + -6x = 48 + 7x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-7x' to each side of the equation.
87 + -6x + -7x = 48 + 7x + -7x

Combine like terms: -6x + -7x = -13x
87 + -13x = 48 + 7x + -7x

Combine like terms: 7x + -7x = 0
87 + -13x = 48 + 0
87 + -13x = 48

Add '-87' to each side of the equation.
87 + -87 + -13x = 48 + -87

Combine like terms: 87 + -87 = 0
0 + -13x = 48 + -87
-13x = 48 + -87

Combine like terms: 48 + -87 = -39
-13x = -39

Divide each side by '-13'.
x = 3

Simplifying
x = 3

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