5x-2+3x=4x-14

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Solution for 5x-2+3x=4x-14 equation:


Simplifying
5x + -2 + 3x = 4x + -14

Reorder the terms:
-2 + 5x + 3x = 4x + -14

Combine like terms: 5x + 3x = 8x
-2 + 8x = 4x + -14

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

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

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

Combine like terms: 4x + -4x = 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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