2-3(4-x)=5(2-x)+4

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Solution for 2-3(4-x)=5(2-x)+4 equation:


Simplifying
2 + -3(4 + -1x) = 5(2 + -1x) + 4
2 + (4 * -3 + -1x * -3) = 5(2 + -1x) + 4
2 + (-12 + 3x) = 5(2 + -1x) + 4

Combine like terms: 2 + -12 = -10
-10 + 3x = 5(2 + -1x) + 4
-10 + 3x = (2 * 5 + -1x * 5) + 4
-10 + 3x = (10 + -5x) + 4

Reorder the terms:
-10 + 3x = 10 + 4 + -5x

Combine like terms: 10 + 4 = 14
-10 + 3x = 14 + -5x

Solving
-10 + 3x = 14 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-10 + 3x + 5x = 14 + -5x + 5x

Combine like terms: 3x + 5x = 8x
-10 + 8x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
-10 + 8x = 14 + 0
-10 + 8x = 14

Add '10' to each side of the equation.
-10 + 10 + 8x = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 8x = 14 + 10
8x = 14 + 10

Combine like terms: 14 + 10 = 24
8x = 24

Divide each side by '8'.
x = 3

Simplifying
x = 3

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