6(x-3)+4=5x+2

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Solution for 6(x-3)+4=5x+2 equation:


Simplifying
6(x + -3) + 4 = 5x + 2

Reorder the terms:
6(-3 + x) + 4 = 5x + 2
(-3 * 6 + x * 6) + 4 = 5x + 2
(-18 + 6x) + 4 = 5x + 2

Reorder the terms:
-18 + 4 + 6x = 5x + 2

Combine like terms: -18 + 4 = -14
-14 + 6x = 5x + 2

Reorder the terms:
-14 + 6x = 2 + 5x

Solving
-14 + 6x = 2 + 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 + 6x + -5x = 2 + 5x + -5x

Combine like terms: 6x + -5x = 1x
-14 + 1x = 2 + 5x + -5x

Combine like terms: 5x + -5x = 0
-14 + 1x = 2 + 0
-14 + 1x = 2

Add '14' to each side of the equation.
-14 + 14 + 1x = 2 + 14

Combine like terms: -14 + 14 = 0
0 + 1x = 2 + 14
1x = 2 + 14

Combine like terms: 2 + 14 = 16
1x = 16

Divide each side by '1'.
x = 16

Simplifying
x = 16

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