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

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


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

Reorder the terms:
6(-2 + x) + 4(x + -3) = 50
(-2 * 6 + x * 6) + 4(x + -3) = 50
(-12 + 6x) + 4(x + -3) = 50

Reorder the terms:
-12 + 6x + 4(-3 + x) = 50
-12 + 6x + (-3 * 4 + x * 4) = 50
-12 + 6x + (-12 + 4x) = 50

Reorder the terms:
-12 + -12 + 6x + 4x = 50

Combine like terms: -12 + -12 = -24
-24 + 6x + 4x = 50

Combine like terms: 6x + 4x = 10x
-24 + 10x = 50

Solving
-24 + 10x = 50

Solving for variable 'x'.

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

Add '24' to each side of the equation.
-24 + 24 + 10x = 50 + 24

Combine like terms: -24 + 24 = 0
0 + 10x = 50 + 24
10x = 50 + 24

Combine like terms: 50 + 24 = 74
10x = 74

Divide each side by '10'.
x = 7.4

Simplifying
x = 7.4

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