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

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


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

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

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

Combine like terms: -2 + 14 = 12
12 + 2x = 7x + -2

Reorder the terms:
12 + 2x = -2 + 7x

Solving
12 + 2x = -2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + 2x + -7x = -2 + 7x + -7x

Combine like terms: 2x + -7x = -5x
12 + -5x = -2 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -5x = -2 + 0
12 + -5x = -2

Add '-12' to each side of the equation.
12 + -12 + -5x = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -5x = -2 + -12
-5x = -2 + -12

Combine like terms: -2 + -12 = -14
-5x = -14

Divide each side by '-5'.
x = 2.8

Simplifying
x = 2.8

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