6(x+1)-3(x-2)=50

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Solution for 6(x+1)-3(x-2)=50 equation:


Simplifying
6(x + 1) + -3(x + -2) = 50

Reorder the terms:
6(1 + x) + -3(x + -2) = 50
(1 * 6 + x * 6) + -3(x + -2) = 50
(6 + 6x) + -3(x + -2) = 50

Reorder the terms:
6 + 6x + -3(-2 + x) = 50
6 + 6x + (-2 * -3 + x * -3) = 50
6 + 6x + (6 + -3x) = 50

Reorder the terms:
6 + 6 + 6x + -3x = 50

Combine like terms: 6 + 6 = 12
12 + 6x + -3x = 50

Combine like terms: 6x + -3x = 3x
12 + 3x = 50

Solving
12 + 3x = 50

Solving for variable 'x'.

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

Add '-12' to each side of the equation.
12 + -12 + 3x = 50 + -12

Combine like terms: 12 + -12 = 0
0 + 3x = 50 + -12
3x = 50 + -12

Combine like terms: 50 + -12 = 38
3x = 38

Divide each side by '3'.
x = 12.66666667

Simplifying
x = 12.66666667

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