3(x-6)+4=5x-4

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Solution for 3(x-6)+4=5x-4 equation:


Simplifying
3(x + -6) + 4 = 5x + -4

Reorder the terms:
3(-6 + x) + 4 = 5x + -4
(-6 * 3 + x * 3) + 4 = 5x + -4
(-18 + 3x) + 4 = 5x + -4

Reorder the terms:
-18 + 4 + 3x = 5x + -4

Combine like terms: -18 + 4 = -14
-14 + 3x = 5x + -4

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

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

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-14 + 3x + -5x = -4 + 5x + -5x

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

Combine like terms: 5x + -5x = 0
-14 + -2x = -4 + 0
-14 + -2x = -4

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

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

Combine like terms: -4 + 14 = 10
-2x = 10

Divide each side by '-2'.
x = -5

Simplifying
x = -5

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