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

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


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

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

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

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

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

Combine like terms: -4x + 4x = 0
-10 + 8x = 10 + 0
-10 + 8x = 10

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

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

Combine like terms: 10 + 10 = 20
8x = 20

Divide each side by '8'.
x = 2.5

Simplifying
x = 2.5

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