10(-4x-4)=5(-3x+2)

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Solution for 10(-4x-4)=5(-3x+2) equation:


Simplifying
10(-4x + -4) = 5(-3x + 2)

Reorder the terms:
10(-4 + -4x) = 5(-3x + 2)
(-4 * 10 + -4x * 10) = 5(-3x + 2)
(-40 + -40x) = 5(-3x + 2)

Reorder the terms:
-40 + -40x = 5(2 + -3x)
-40 + -40x = (2 * 5 + -3x * 5)
-40 + -40x = (10 + -15x)

Solving
-40 + -40x = 10 + -15x

Solving for variable 'x'.

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

Add '15x' to each side of the equation.
-40 + -40x + 15x = 10 + -15x + 15x

Combine like terms: -40x + 15x = -25x
-40 + -25x = 10 + -15x + 15x

Combine like terms: -15x + 15x = 0
-40 + -25x = 10 + 0
-40 + -25x = 10

Add '40' to each side of the equation.
-40 + 40 + -25x = 10 + 40

Combine like terms: -40 + 40 = 0
0 + -25x = 10 + 40
-25x = 10 + 40

Combine like terms: 10 + 40 = 50
-25x = 50

Divide each side by '-25'.
x = -2

Simplifying
x = -2

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