20x-13+7-3x=15(x-3)

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Solution for 20x-13+7-3x=15(x-3) equation:


Simplifying
20x + -13 + 7 + -3x = 15(x + -3)

Reorder the terms:
-13 + 7 + 20x + -3x = 15(x + -3)

Combine like terms: -13 + 7 = -6
-6 + 20x + -3x = 15(x + -3)

Combine like terms: 20x + -3x = 17x
-6 + 17x = 15(x + -3)

Reorder the terms:
-6 + 17x = 15(-3 + x)
-6 + 17x = (-3 * 15 + x * 15)
-6 + 17x = (-45 + 15x)

Solving
-6 + 17x = -45 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-6 + 17x + -15x = -45 + 15x + -15x

Combine like terms: 17x + -15x = 2x
-6 + 2x = -45 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + 2x = -45 + 0
-6 + 2x = -45

Add '6' to each side of the equation.
-6 + 6 + 2x = -45 + 6

Combine like terms: -6 + 6 = 0
0 + 2x = -45 + 6
2x = -45 + 6

Combine like terms: -45 + 6 = -39
2x = -39

Divide each side by '2'.
x = -19.5

Simplifying
x = -19.5

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