7x-2(x-1)=x+14

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Solution for 7x-2(x-1)=x+14 equation:


Simplifying
7x + -2(x + -1) = x + 14

Reorder the terms:
7x + -2(-1 + x) = x + 14
7x + (-1 * -2 + x * -2) = x + 14
7x + (2 + -2x) = x + 14

Reorder the terms:
2 + 7x + -2x = x + 14

Combine like terms: 7x + -2x = 5x
2 + 5x = x + 14

Reorder the terms:
2 + 5x = 14 + x

Solving
2 + 5x = 14 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
2 + 5x + -1x = 14 + x + -1x

Combine like terms: 5x + -1x = 4x
2 + 4x = 14 + x + -1x

Combine like terms: x + -1x = 0
2 + 4x = 14 + 0
2 + 4x = 14

Add '-2' to each side of the equation.
2 + -2 + 4x = 14 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 14 + -2
4x = 14 + -2

Combine like terms: 14 + -2 = 12
4x = 12

Divide each side by '4'.
x = 3

Simplifying
x = 3

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