3x-(7x+2)=8x-14

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Solution for 3x-(7x+2)=8x-14 equation:


Simplifying
3x + -1(7x + 2) = 8x + -14

Reorder the terms:
3x + -1(2 + 7x) = 8x + -14
3x + (2 * -1 + 7x * -1) = 8x + -14
3x + (-2 + -7x) = 8x + -14

Reorder the terms:
-2 + 3x + -7x = 8x + -14

Combine like terms: 3x + -7x = -4x
-2 + -4x = 8x + -14

Reorder the terms:
-2 + -4x = -14 + 8x

Solving
-2 + -4x = -14 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-2 + -4x + -8x = -14 + 8x + -8x

Combine like terms: -4x + -8x = -12x
-2 + -12x = -14 + 8x + -8x

Combine like terms: 8x + -8x = 0
-2 + -12x = -14 + 0
-2 + -12x = -14

Add '2' to each side of the equation.
-2 + 2 + -12x = -14 + 2

Combine like terms: -2 + 2 = 0
0 + -12x = -14 + 2
-12x = -14 + 2

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

Divide each side by '-12'.
x = 1

Simplifying
x = 1

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