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

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


Simplifying
3(2 + -1x) + -4(x + -2) = 7
(2 * 3 + -1x * 3) + -4(x + -2) = 7
(6 + -3x) + -4(x + -2) = 7

Reorder the terms:
6 + -3x + -4(-2 + x) = 7
6 + -3x + (-2 * -4 + x * -4) = 7
6 + -3x + (8 + -4x) = 7

Reorder the terms:
6 + 8 + -3x + -4x = 7

Combine like terms: 6 + 8 = 14
14 + -3x + -4x = 7

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

Solving
14 + -7x = 7

Solving for variable 'x'.

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

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

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

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

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

Simplifying
x = 1

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