(4x-6)=-5(2x+10)

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Solution for (4x-6)=-5(2x+10) equation:


Simplifying
(4x + -6) = -5(2x + 10)

Reorder the terms:
(-6 + 4x) = -5(2x + 10)

Remove parenthesis around (-6 + 4x)
-6 + 4x = -5(2x + 10)

Reorder the terms:
-6 + 4x = -5(10 + 2x)
-6 + 4x = (10 * -5 + 2x * -5)
-6 + 4x = (-50 + -10x)

Solving
-6 + 4x = -50 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-6 + 4x + 10x = -50 + -10x + 10x

Combine like terms: 4x + 10x = 14x
-6 + 14x = -50 + -10x + 10x

Combine like terms: -10x + 10x = 0
-6 + 14x = -50 + 0
-6 + 14x = -50

Add '6' to each side of the equation.
-6 + 6 + 14x = -50 + 6

Combine like terms: -6 + 6 = 0
0 + 14x = -50 + 6
14x = -50 + 6

Combine like terms: -50 + 6 = -44
14x = -44

Divide each side by '14'.
x = -3.142857143

Simplifying
x = -3.142857143

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