3x-2(x-4)=7

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


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

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

Reorder the terms:
8 + 3x + -2x = 7

Combine like terms: 3x + -2x = 1x
8 + 1x = 7

Solving
8 + 1x = 7

Solving for variable 'x'.

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

Add '-8' to each side of the equation.
8 + -8 + 1x = 7 + -8

Combine like terms: 8 + -8 = 0
0 + 1x = 7 + -8
1x = 7 + -8

Combine like terms: 7 + -8 = -1
1x = -1

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

Simplifying
x = -1

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