3(x+13)-15=4(x-2)

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Solution for 3(x+13)-15=4(x-2) equation:


Simplifying
3(x + 13) + -15 = 4(x + -2)

Reorder the terms:
3(13 + x) + -15 = 4(x + -2)
(13 * 3 + x * 3) + -15 = 4(x + -2)
(39 + 3x) + -15 = 4(x + -2)

Reorder the terms:
39 + -15 + 3x = 4(x + -2)

Combine like terms: 39 + -15 = 24
24 + 3x = 4(x + -2)

Reorder the terms:
24 + 3x = 4(-2 + x)
24 + 3x = (-2 * 4 + x * 4)
24 + 3x = (-8 + 4x)

Solving
24 + 3x = -8 + 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.
24 + 3x + -4x = -8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
24 + -1x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
24 + -1x = -8 + 0
24 + -1x = -8

Add '-24' to each side of the equation.
24 + -24 + -1x = -8 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = -8 + -24
-1x = -8 + -24

Combine like terms: -8 + -24 = -32
-1x = -32

Divide each side by '-1'.
x = 32

Simplifying
x = 32

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