10(x+6)=-4(x-3)

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Solution for 10(x+6)=-4(x-3) equation:


Simplifying
10(x + 6) = -4(x + -3)

Reorder the terms:
10(6 + x) = -4(x + -3)
(6 * 10 + x * 10) = -4(x + -3)
(60 + 10x) = -4(x + -3)

Reorder the terms:
60 + 10x = -4(-3 + x)
60 + 10x = (-3 * -4 + x * -4)
60 + 10x = (12 + -4x)

Solving
60 + 10x = 12 + -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.
60 + 10x + 4x = 12 + -4x + 4x

Combine like terms: 10x + 4x = 14x
60 + 14x = 12 + -4x + 4x

Combine like terms: -4x + 4x = 0
60 + 14x = 12 + 0
60 + 14x = 12

Add '-60' to each side of the equation.
60 + -60 + 14x = 12 + -60

Combine like terms: 60 + -60 = 0
0 + 14x = 12 + -60
14x = 12 + -60

Combine like terms: 12 + -60 = -48
14x = -48

Divide each side by '14'.
x = -3.428571429

Simplifying
x = -3.428571429

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