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

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


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

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

Combine like terms: 5x + 4x = 9x
-10 + 3x = 10 + 9x

Solving
-10 + 3x = 10 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-10 + 3x + -9x = 10 + 9x + -9x

Combine like terms: 3x + -9x = -6x
-10 + -6x = 10 + 9x + -9x

Combine like terms: 9x + -9x = 0
-10 + -6x = 10 + 0
-10 + -6x = 10

Add '10' to each side of the equation.
-10 + 10 + -6x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = 10 + 10
-6x = 10 + 10

Combine like terms: 10 + 10 = 20
-6x = 20

Divide each side by '-6'.
x = -3.333333333

Simplifying
x = -3.333333333

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