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

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


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

Reorder the terms:
6(-5 + x) = 4(x + 2)
(-5 * 6 + x * 6) = 4(x + 2)
(-30 + 6x) = 4(x + 2)

Reorder the terms:
-30 + 6x = 4(2 + x)
-30 + 6x = (2 * 4 + x * 4)
-30 + 6x = (8 + 4x)

Solving
-30 + 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.
-30 + 6x + -4x = 8 + 4x + -4x

Combine like terms: 6x + -4x = 2x
-30 + 2x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
-30 + 2x = 8 + 0
-30 + 2x = 8

Add '30' to each side of the equation.
-30 + 30 + 2x = 8 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = 8 + 30
2x = 8 + 30

Combine like terms: 8 + 30 = 38
2x = 38

Divide each side by '2'.
x = 19

Simplifying
x = 19

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