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

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

Combine like terms: -5x + 4x = -1x
-10 + -3x = 10 + -1x

Solving
-10 + -3x = 10 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-10 + -3x + x = 10 + -1x + x

Combine like terms: -3x + x = -2x
-10 + -2x = 10 + -1x + x

Combine like terms: -1x + x = 0
-10 + -2x = 10 + 0
-10 + -2x = 10

Add '10' to each side of the equation.
-10 + 10 + -2x = 10 + 10

Combine like terms: -10 + 10 = 0
0 + -2x = 10 + 10
-2x = 10 + 10

Combine like terms: 10 + 10 = 20
-2x = 20

Divide each side by '-2'.
x = -10

Simplifying
x = -10

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