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

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


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

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

Reorder the terms:
18 + 6x = 4(-2 + x)
18 + 6x = (-2 * 4 + x * 4)
18 + 6x = (-8 + 4x)

Solving
18 + 6x = -8 + 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.
18 + 6x + -4x = -8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
18 + 2x = -8 + 4x + -4x

Combine like terms: 4x + -4x = 0
18 + 2x = -8 + 0
18 + 2x = -8

Add '-18' to each side of the equation.
18 + -18 + 2x = -8 + -18

Combine like terms: 18 + -18 = 0
0 + 2x = -8 + -18
2x = -8 + -18

Combine like terms: -8 + -18 = -26
2x = -26

Divide each side by '2'.
x = -13

Simplifying
x = -13

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