10-(2x-4)=7-3x

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Solution for 10-(2x-4)=7-3x equation: 


Simplifying
10 + -1(2x + -4) = 7 + -3x

Reorder the terms:
10 + -1(-4 + 2x) = 7 + -3x
10 + (-4 * -1 + 2x * -1) = 7 + -3x
10 + (4 + -2x) = 7 + -3x

Combine like terms: 10 + 4 = 14
14 + -2x = 7 + -3x

Solving
14 + -2x = 7 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
14 + -2x + 3x = 7 + -3x + 3x

Combine like terms: -2x + 3x = 1x
14 + 1x = 7 + -3x + 3x

Combine like terms: -3x + 3x = 0
14 + 1x = 7 + 0
14 + 1x = 7

Add '-14' to each side of the equation.
14 + -14 + 1x = 7 + -14

Combine like terms: 14 + -14 = 0
0 + 1x = 7 + -14
1x = 7 + -14

Combine like terms: 7 + -14 = -7
1x = -7

Divide each side by '1'.
x = -7

Simplifying
x = -7

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