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

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


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

Reorder the terms:
10 + -3x = -2(-5 + 4x)
10 + -3x = (-5 * -2 + 4x * -2)
10 + -3x = (10 + -8x)

Add '-10' to each side of the equation.
10 + -10 + -3x = 10 + -10 + -8x

Combine like terms: 10 + -10 = 0
0 + -3x = 10 + -10 + -8x
-3x = 10 + -10 + -8x

Combine like terms: 10 + -10 = 0
-3x = 0 + -8x
-3x = -8x

Solving
-3x = -8x

Solving for variable 'x'.

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

Add '8x' to each side of the equation.
-3x + 8x = -8x + 8x

Combine like terms: -3x + 8x = 5x
5x = -8x + 8x

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

Divide each side by '5'.
x = 0

Simplifying
x = 0

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