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

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Solution for 6(x-3)=-4(2x+5) equation:


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

Reorder the terms:
6(-3 + x) = -4(2x + 5)
(-3 * 6 + x * 6) = -4(2x + 5)
(-18 + 6x) = -4(2x + 5)

Reorder the terms:
-18 + 6x = -4(5 + 2x)
-18 + 6x = (5 * -4 + 2x * -4)
-18 + 6x = (-20 + -8x)

Solving
-18 + 6x = -20 + -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.
-18 + 6x + 8x = -20 + -8x + 8x

Combine like terms: 6x + 8x = 14x
-18 + 14x = -20 + -8x + 8x

Combine like terms: -8x + 8x = 0
-18 + 14x = -20 + 0
-18 + 14x = -20

Add '18' to each side of the equation.
-18 + 18 + 14x = -20 + 18

Combine like terms: -18 + 18 = 0
0 + 14x = -20 + 18
14x = -20 + 18

Combine like terms: -20 + 18 = -2
14x = -2

Divide each side by '14'.
x = -0.1428571429

Simplifying
x = -0.1428571429

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