6(x-5)=2(4x-9)

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Solution for 6(x-5)=2(4x-9) equation:


Simplifying
6(x + -5) = 2(4x + -9)

Reorder the terms:
6(-5 + x) = 2(4x + -9)
(-5 * 6 + x * 6) = 2(4x + -9)
(-30 + 6x) = 2(4x + -9)

Reorder the terms:
-30 + 6x = 2(-9 + 4x)
-30 + 6x = (-9 * 2 + 4x * 2)
-30 + 6x = (-18 + 8x)

Solving
-30 + 6x = -18 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-30 + 6x + -8x = -18 + 8x + -8x

Combine like terms: 6x + -8x = -2x
-30 + -2x = -18 + 8x + -8x

Combine like terms: 8x + -8x = 0
-30 + -2x = -18 + 0
-30 + -2x = -18

Add '30' to each side of the equation.
-30 + 30 + -2x = -18 + 30

Combine like terms: -30 + 30 = 0
0 + -2x = -18 + 30
-2x = -18 + 30

Combine like terms: -18 + 30 = 12
-2x = 12

Divide each side by '-2'.
x = -6

Simplifying
x = -6

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