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

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


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

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

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

Multiply 5 * -1
-10 + 3x = -5 + 4x

Solving
-10 + 3x = -5 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
-10 + 3x + -4x = -5 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
-10 + -1x = -5 + 0
-10 + -1x = -5

Add '10' to each side of the equation.
-10 + 10 + -1x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + -1x = -5 + 10
-1x = -5 + 10

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

Divide each side by '-1'.
x = -5

Simplifying
x = -5

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