3(3-2x)-7(1-x)=10

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Solution for 3(3-2x)-7(1-x)=10 equation: 


Simplifying
3(3 + -2x) + -7(1 + -1x) = 10
(3 * 3 + -2x * 3) + -7(1 + -1x) = 10
(9 + -6x) + -7(1 + -1x) = 10
9 + -6x + (1 * -7 + -1x * -7) = 10
9 + -6x + (-7 + 7x) = 10

Reorder the terms:
9 + -7 + -6x + 7x = 10

Combine like terms: 9 + -7 = 2
2 + -6x + 7x = 10

Combine like terms: -6x + 7x = 1x
2 + 1x = 10

Solving
2 + 1x = 10

Solving for variable 'x'.

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

Add '-2' to each side of the equation.
2 + -2 + 1x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = 10 + -2
1x = 10 + -2

Combine like terms: 10 + -2 = 8
1x = 8

Divide each side by '1'.
x = 8

Simplifying
x = 8

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