4(3-x)-3(x-2)=24

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Solution for 4(3-x)-3(x-2)=24 equation:


Simplifying
4(3 + -1x) + -3(x + -2) = 24
(3 * 4 + -1x * 4) + -3(x + -2) = 24
(12 + -4x) + -3(x + -2) = 24

Reorder the terms:
12 + -4x + -3(-2 + x) = 24
12 + -4x + (-2 * -3 + x * -3) = 24
12 + -4x + (6 + -3x) = 24

Reorder the terms:
12 + 6 + -4x + -3x = 24

Combine like terms: 12 + 6 = 18
18 + -4x + -3x = 24

Combine like terms: -4x + -3x = -7x
18 + -7x = 24

Solving
18 + -7x = 24

Solving for variable 'x'.

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

Add '-18' to each side of the equation.
18 + -18 + -7x = 24 + -18

Combine like terms: 18 + -18 = 0
0 + -7x = 24 + -18
-7x = 24 + -18

Combine like terms: 24 + -18 = 6
-7x = 6

Divide each side by '-7'.
x = -0.8571428571

Simplifying
x = -0.8571428571

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