5(3x+4)-3(x-6)=4x-60+x

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Solution for 5(3x+4)-3(x-6)=4x-60+x equation:


Simplifying
5(3x + 4) + -3(x + -6) = 4x + -60 + x

Reorder the terms:
5(4 + 3x) + -3(x + -6) = 4x + -60 + x
(4 * 5 + 3x * 5) + -3(x + -6) = 4x + -60 + x
(20 + 15x) + -3(x + -6) = 4x + -60 + x

Reorder the terms:
20 + 15x + -3(-6 + x) = 4x + -60 + x
20 + 15x + (-6 * -3 + x * -3) = 4x + -60 + x
20 + 15x + (18 + -3x) = 4x + -60 + x

Reorder the terms:
20 + 18 + 15x + -3x = 4x + -60 + x

Combine like terms: 20 + 18 = 38
38 + 15x + -3x = 4x + -60 + x

Combine like terms: 15x + -3x = 12x
38 + 12x = 4x + -60 + x

Reorder the terms:
38 + 12x = -60 + 4x + x

Combine like terms: 4x + x = 5x
38 + 12x = -60 + 5x

Solving
38 + 12x = -60 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
38 + 12x + -5x = -60 + 5x + -5x

Combine like terms: 12x + -5x = 7x
38 + 7x = -60 + 5x + -5x

Combine like terms: 5x + -5x = 0
38 + 7x = -60 + 0
38 + 7x = -60

Add '-38' to each side of the equation.
38 + -38 + 7x = -60 + -38

Combine like terms: 38 + -38 = 0
0 + 7x = -60 + -38
7x = -60 + -38

Combine like terms: -60 + -38 = -98
7x = -98

Divide each side by '7'.
x = -14

Simplifying
x = -14

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