144-(6X+11)=6(X+7)+X

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Solution for 144-(6X+11)=6(X+7)+X equation:


Simplifying
144 + -1(6X + 11) = 6(X + 7) + X

Reorder the terms:
144 + -1(11 + 6X) = 6(X + 7) + X
144 + (11 * -1 + 6X * -1) = 6(X + 7) + X
144 + (-11 + -6X) = 6(X + 7) + X

Combine like terms: 144 + -11 = 133
133 + -6X = 6(X + 7) + X

Reorder the terms:
133 + -6X = 6(7 + X) + X
133 + -6X = (7 * 6 + X * 6) + X
133 + -6X = (42 + 6X) + X

Combine like terms: 6X + X = 7X
133 + -6X = 42 + 7X

Solving
133 + -6X = 42 + 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.
133 + -6X + -7X = 42 + 7X + -7X

Combine like terms: -6X + -7X = -13X
133 + -13X = 42 + 7X + -7X

Combine like terms: 7X + -7X = 0
133 + -13X = 42 + 0
133 + -13X = 42

Add '-133' to each side of the equation.
133 + -133 + -13X = 42 + -133

Combine like terms: 133 + -133 = 0
0 + -13X = 42 + -133
-13X = 42 + -133

Combine like terms: 42 + -133 = -91
-13X = -91

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

Simplifying
X = 7

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