6(x-3)+4(x+2)=50

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Solution for 6(x-3)+4(x+2)=50 equation: 


Simplifying
6(x + -3) + 4(x + 2) = 50

Reorder the terms:
6(-3 + x) + 4(x + 2) = 50
(-3 * 6 + x * 6) + 4(x + 2) = 50
(-18 + 6x) + 4(x + 2) = 50

Reorder the terms:
-18 + 6x + 4(2 + x) = 50
-18 + 6x + (2 * 4 + x * 4) = 50
-18 + 6x + (8 + 4x) = 50

Reorder the terms:
-18 + 8 + 6x + 4x = 50

Combine like terms: -18 + 8 = -10
-10 + 6x + 4x = 50

Combine like terms: 6x + 4x = 10x
-10 + 10x = 50

Solving
-10 + 10x = 50

Solving for variable 'x'.

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

Add '10' to each side of the equation.
-10 + 10 + 10x = 50 + 10

Combine like terms: -10 + 10 = 0
0 + 10x = 50 + 10
10x = 50 + 10

Combine like terms: 50 + 10 = 60
10x = 60

Divide each side by '10'.
x = 6

Simplifying
x = 6

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