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

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


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

Reorder the terms:
-4(-2 + x) = 5x + -10
(-2 * -4 + x * -4) = 5x + -10
(8 + -4x) = 5x + -10

Reorder the terms:
8 + -4x = -10 + 5x

Solving
8 + -4x = -10 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
8 + -4x + -5x = -10 + 5x + -5x

Combine like terms: -4x + -5x = -9x
8 + -9x = -10 + 5x + -5x

Combine like terms: 5x + -5x = 0
8 + -9x = -10 + 0
8 + -9x = -10

Add '-8' to each side of the equation.
8 + -8 + -9x = -10 + -8

Combine like terms: 8 + -8 = 0
0 + -9x = -10 + -8
-9x = -10 + -8

Combine like terms: -10 + -8 = -18
-9x = -18

Divide each side by '-9'.
x = 2

Simplifying
x = 2

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