3(x-4)+15=5x-2

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Solution for 3(x-4)+15=5x-2 equation:


Simplifying
3(x + -4) + 15 = 5x + -2

Reorder the terms:
3(-4 + x) + 15 = 5x + -2
(-4 * 3 + x * 3) + 15 = 5x + -2
(-12 + 3x) + 15 = 5x + -2

Reorder the terms:
-12 + 15 + 3x = 5x + -2

Combine like terms: -12 + 15 = 3
3 + 3x = 5x + -2

Reorder the terms:
3 + 3x = -2 + 5x

Solving
3 + 3x = -2 + 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.
3 + 3x + -5x = -2 + 5x + -5x

Combine like terms: 3x + -5x = -2x
3 + -2x = -2 + 5x + -5x

Combine like terms: 5x + -5x = 0
3 + -2x = -2 + 0
3 + -2x = -2

Add '-3' to each side of the equation.
3 + -3 + -2x = -2 + -3

Combine like terms: 3 + -3 = 0
0 + -2x = -2 + -3
-2x = -2 + -3

Combine like terms: -2 + -3 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

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