10-4(2x-1)=-2(3-x)

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Solution for 10-4(2x-1)=-2(3-x) equation:


Simplifying
10 + -4(2x + -1) = -2(3 + -1x)

Reorder the terms:
10 + -4(-1 + 2x) = -2(3 + -1x)
10 + (-1 * -4 + 2x * -4) = -2(3 + -1x)
10 + (4 + -8x) = -2(3 + -1x)

Combine like terms: 10 + 4 = 14
14 + -8x = -2(3 + -1x)
14 + -8x = (3 * -2 + -1x * -2)
14 + -8x = (-6 + 2x)

Solving
14 + -8x = -6 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
14 + -8x + -2x = -6 + 2x + -2x

Combine like terms: -8x + -2x = -10x
14 + -10x = -6 + 2x + -2x

Combine like terms: 2x + -2x = 0
14 + -10x = -6 + 0
14 + -10x = -6

Add '-14' to each side of the equation.
14 + -14 + -10x = -6 + -14

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

Combine like terms: -6 + -14 = -20
-10x = -20

Divide each side by '-10'.
x = 2

Simplifying
x = 2

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