143-(6x+4)=6(x+8)+x

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Solution for 143-(6x+4)=6(x+8)+x equation:


Simplifying
143 + -1(6x + 4) = 6(x + 8) + x

Reorder the terms:
143 + -1(4 + 6x) = 6(x + 8) + x
143 + (4 * -1 + 6x * -1) = 6(x + 8) + x
143 + (-4 + -6x) = 6(x + 8) + x

Combine like terms: 143 + -4 = 139
139 + -6x = 6(x + 8) + x

Reorder the terms:
139 + -6x = 6(8 + x) + x
139 + -6x = (8 * 6 + x * 6) + x
139 + -6x = (48 + 6x) + x

Combine like terms: 6x + x = 7x
139 + -6x = 48 + 7x

Solving
139 + -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.
139 + -6x + -7x = 48 + 7x + -7x

Combine like terms: -6x + -7x = -13x
139 + -13x = 48 + 7x + -7x

Combine like terms: 7x + -7x = 0
139 + -13x = 48 + 0
139 + -13x = 48

Add '-139' to each side of the equation.
139 + -139 + -13x = 48 + -139

Combine like terms: 139 + -139 = 0
0 + -13x = 48 + -139
-13x = 48 + -139

Combine like terms: 48 + -139 = -91
-13x = -91

Divide each side by '-13'.
x = 7

Simplifying
x = 7

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