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

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


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

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

Reorder the terms:
6 + 5x = 4(-2 + 3x)
6 + 5x = (-2 * 4 + 3x * 4)
6 + 5x = (-8 + 12x)

Solving
6 + 5x = -8 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
6 + 5x + -12x = -8 + 12x + -12x

Combine like terms: 5x + -12x = -7x
6 + -7x = -8 + 12x + -12x

Combine like terms: 12x + -12x = 0
6 + -7x = -8 + 0
6 + -7x = -8

Add '-6' to each side of the equation.
6 + -6 + -7x = -8 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -8 + -6
-7x = -8 + -6

Combine like terms: -8 + -6 = -14
-7x = -14

Divide each side by '-7'.
x = 2

Simplifying
x = 2

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