5(x-4)+4x=3x-14

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


Simplifying
5(x + -4) + 4x = 3x + -14

Reorder the terms:
5(-4 + x) + 4x = 3x + -14
(-4 * 5 + x * 5) + 4x = 3x + -14
(-20 + 5x) + 4x = 3x + -14

Combine like terms: 5x + 4x = 9x
-20 + 9x = 3x + -14

Reorder the terms:
-20 + 9x = -14 + 3x

Solving
-20 + 9x = -14 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 9x + -3x = -14 + 3x + -3x

Combine like terms: 9x + -3x = 6x
-20 + 6x = -14 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 6x = -14 + 0
-20 + 6x = -14

Add '20' to each side of the equation.
-20 + 20 + 6x = -14 + 20

Combine like terms: -20 + 20 = 0
0 + 6x = -14 + 20
6x = -14 + 20

Combine like terms: -14 + 20 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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