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

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


Simplifying
10 + -2(3 + -1x) = 3 + -10(2 + -1x)
10 + (3 * -2 + -1x * -2) = 3 + -10(2 + -1x)
10 + (-6 + 2x) = 3 + -10(2 + -1x)

Combine like terms: 10 + -6 = 4
4 + 2x = 3 + -10(2 + -1x)
4 + 2x = 3 + (2 * -10 + -1x * -10)
4 + 2x = 3 + (-20 + 10x)

Combine like terms: 3 + -20 = -17
4 + 2x = -17 + 10x

Solving
4 + 2x = -17 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
4 + 2x + -10x = -17 + 10x + -10x

Combine like terms: 2x + -10x = -8x
4 + -8x = -17 + 10x + -10x

Combine like terms: 10x + -10x = 0
4 + -8x = -17 + 0
4 + -8x = -17

Add '-4' to each side of the equation.
4 + -4 + -8x = -17 + -4

Combine like terms: 4 + -4 = 0
0 + -8x = -17 + -4
-8x = -17 + -4

Combine like terms: -17 + -4 = -21
-8x = -21

Divide each side by '-8'.
x = 2.625

Simplifying
x = 2.625

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