-9(x-2)=4(x-15)

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Solution for -9(x-2)=4(x-15) equation:


Simplifying
-9(x + -2) = 4(x + -15)

Reorder the terms:
-9(-2 + x) = 4(x + -15)
(-2 * -9 + x * -9) = 4(x + -15)
(18 + -9x) = 4(x + -15)

Reorder the terms:
18 + -9x = 4(-15 + x)
18 + -9x = (-15 * 4 + x * 4)
18 + -9x = (-60 + 4x)

Solving
18 + -9x = -60 + 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.
18 + -9x + -4x = -60 + 4x + -4x

Combine like terms: -9x + -4x = -13x
18 + -13x = -60 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + -13x = -60 + 0
18 + -13x = -60

Add '-18' to each side of the equation.
18 + -18 + -13x = -60 + -18

Combine like terms: 18 + -18 = 0
0 + -13x = -60 + -18
-13x = -60 + -18

Combine like terms: -60 + -18 = -78
-13x = -78

Divide each side by '-13'.
x = 6

Simplifying
x = 6

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