144=5x+6(6x-17)

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Solution for 144=5x+6(6x-17) equation:


Simplifying
144 = 5x + 6(6x + -17)

Reorder the terms:
144 = 5x + 6(-17 + 6x)
144 = 5x + (-17 * 6 + 6x * 6)
144 = 5x + (-102 + 36x)

Reorder the terms:
144 = -102 + 5x + 36x

Combine like terms: 5x + 36x = 41x
144 = -102 + 41x

Solving
144 = -102 + 41x

Solving for variable 'x'.

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

Add '-41x' to each side of the equation.
144 + -41x = -102 + 41x + -41x

Combine like terms: 41x + -41x = 0
144 + -41x = -102 + 0
144 + -41x = -102

Add '-144' to each side of the equation.
144 + -144 + -41x = -102 + -144

Combine like terms: 144 + -144 = 0
0 + -41x = -102 + -144
-41x = -102 + -144

Combine like terms: -102 + -144 = -246
-41x = -246

Divide each side by '-41'.
x = 6

Simplifying
x = 6

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