6(x+3)-4(x-6)=50

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Solution for 6(x+3)-4(x-6)=50 equation: 


Simplifying
6(x + 3) + -4(x + -6) = 50

Reorder the terms:
6(3 + x) + -4(x + -6) = 50
(3 * 6 + x * 6) + -4(x + -6) = 50
(18 + 6x) + -4(x + -6) = 50

Reorder the terms:
18 + 6x + -4(-6 + x) = 50
18 + 6x + (-6 * -4 + x * -4) = 50
18 + 6x + (24 + -4x) = 50

Reorder the terms:
18 + 24 + 6x + -4x = 50

Combine like terms: 18 + 24 = 42
42 + 6x + -4x = 50

Combine like terms: 6x + -4x = 2x
42 + 2x = 50

Solving
42 + 2x = 50

Solving for variable 'x'.

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

Add '-42' to each side of the equation.
42 + -42 + 2x = 50 + -42

Combine like terms: 42 + -42 = 0
0 + 2x = 50 + -42
2x = 50 + -42

Combine like terms: 50 + -42 = 8
2x = 8

Divide each side by '2'.
x = 4

Simplifying
x = 4

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