3x-7x+2=4x-14

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Solution for 3x-7x+2=4x-14 equation:


Simplifying
3x + -7x + 2 = 4x + -14

Reorder the terms:
2 + 3x + -7x = 4x + -14

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

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

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

Solving for variable 'x'.

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

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

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

Combine like terms: 4x + -4x = 0
2 + -8x = -14 + 0
2 + -8x = -14

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

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

Combine like terms: -14 + -2 = -16
-8x = -16

Divide each side by '-8'.
x = 2

Simplifying
x = 2

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