13(3x+5)-6(2x-2)=4x-48

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Solution for 13(3x+5)-6(2x-2)=4x-48 equation:


Simplifying
13(3x + 5) + -6(2x + -2) = 4x + -48

Reorder the terms:
13(5 + 3x) + -6(2x + -2) = 4x + -48
(5 * 13 + 3x * 13) + -6(2x + -2) = 4x + -48
(65 + 39x) + -6(2x + -2) = 4x + -48

Reorder the terms:
65 + 39x + -6(-2 + 2x) = 4x + -48
65 + 39x + (-2 * -6 + 2x * -6) = 4x + -48
65 + 39x + (12 + -12x) = 4x + -48

Reorder the terms:
65 + 12 + 39x + -12x = 4x + -48

Combine like terms: 65 + 12 = 77
77 + 39x + -12x = 4x + -48

Combine like terms: 39x + -12x = 27x
77 + 27x = 4x + -48

Reorder the terms:
77 + 27x = -48 + 4x

Solving
77 + 27x = -48 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
77 + 27x + -4x = -48 + 4x + -4x

Combine like terms: 27x + -4x = 23x
77 + 23x = -48 + 4x + -4x

Combine like terms: 4x + -4x = 0
77 + 23x = -48 + 0
77 + 23x = -48

Add '-77' to each side of the equation.
77 + -77 + 23x = -48 + -77

Combine like terms: 77 + -77 = 0
0 + 23x = -48 + -77
23x = -48 + -77

Combine like terms: -48 + -77 = -125
23x = -125

Divide each side by '23'.
x = -5.434782609

Simplifying
x = -5.434782609

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