2(x-3)-4x=15(x-6)

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Solution for 2(x-3)-4x=15(x-6) equation:


Simplifying
2(x + -3) + -4x = 15(x + -6)

Reorder the terms:
2(-3 + x) + -4x = 15(x + -6)
(-3 * 2 + x * 2) + -4x = 15(x + -6)
(-6 + 2x) + -4x = 15(x + -6)

Combine like terms: 2x + -4x = -2x
-6 + -2x = 15(x + -6)

Reorder the terms:
-6 + -2x = 15(-6 + x)
-6 + -2x = (-6 * 15 + x * 15)
-6 + -2x = (-90 + 15x)

Solving
-6 + -2x = -90 + 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 + -2x + -15x = -90 + 15x + -15x

Combine like terms: -2x + -15x = -17x
-6 + -17x = -90 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + -17x = -90 + 0
-6 + -17x = -90

Add '6' to each side of the equation.
-6 + 6 + -17x = -90 + 6

Combine like terms: -6 + 6 = 0
0 + -17x = -90 + 6
-17x = -90 + 6

Combine like terms: -90 + 6 = -84
-17x = -84

Divide each side by '-17'.
x = 4.941176471

Simplifying
x = 4.941176471

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