103-(6x+14)=6(x+4)+x

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Solution for 103-(6x+14)=6(x+4)+x equation:


Simplifying
103 + -1(6x + 14) = 6(x + 4) + x

Reorder the terms:
103 + -1(14 + 6x) = 6(x + 4) + x
103 + (14 * -1 + 6x * -1) = 6(x + 4) + x
103 + (-14 + -6x) = 6(x + 4) + x

Combine like terms: 103 + -14 = 89
89 + -6x = 6(x + 4) + x

Reorder the terms:
89 + -6x = 6(4 + x) + x
89 + -6x = (4 * 6 + x * 6) + x
89 + -6x = (24 + 6x) + x

Combine like terms: 6x + x = 7x
89 + -6x = 24 + 7x

Solving
89 + -6x = 24 + 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.
89 + -6x + -7x = 24 + 7x + -7x

Combine like terms: -6x + -7x = -13x
89 + -13x = 24 + 7x + -7x

Combine like terms: 7x + -7x = 0
89 + -13x = 24 + 0
89 + -13x = 24

Add '-89' to each side of the equation.
89 + -89 + -13x = 24 + -89

Combine like terms: 89 + -89 = 0
0 + -13x = 24 + -89
-13x = 24 + -89

Combine like terms: 24 + -89 = -65
-13x = -65

Divide each side by '-13'.
x = 5

Simplifying
x = 5

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