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

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


Simplifying
2(6 + -1x) + 3(4 + -1x) = 4
(6 * 2 + -1x * 2) + 3(4 + -1x) = 4
(12 + -2x) + 3(4 + -1x) = 4
12 + -2x + (4 * 3 + -1x * 3) = 4
12 + -2x + (12 + -3x) = 4

Reorder the terms:
12 + 12 + -2x + -3x = 4

Combine like terms: 12 + 12 = 24
24 + -2x + -3x = 4

Combine like terms: -2x + -3x = -5x
24 + -5x = 4

Solving
24 + -5x = 4

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 + -5x = 4 + -24

Combine like terms: 24 + -24 = 0
0 + -5x = 4 + -24
-5x = 4 + -24

Combine like terms: 4 + -24 = -20
-5x = -20

Divide each side by '-5'.
x = 4

Simplifying
x = 4

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