4-7(2-x)=2-(5-4x)

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Solution for 4-7(2-x)=2-(5-4x) equation:


Simplifying
4 + -7(2 + -1x) = 2 + -1(5 + -4x)
4 + (2 * -7 + -1x * -7) = 2 + -1(5 + -4x)
4 + (-14 + 7x) = 2 + -1(5 + -4x)

Combine like terms: 4 + -14 = -10
-10 + 7x = 2 + -1(5 + -4x)
-10 + 7x = 2 + (5 * -1 + -4x * -1)
-10 + 7x = 2 + (-5 + 4x)

Combine like terms: 2 + -5 = -3
-10 + 7x = -3 + 4x

Solving
-10 + 7x = -3 + 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 + 7x + -4x = -3 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-10 + 3x = -3 + 4x + -4x

Combine like terms: 4x + -4x = 0
-10 + 3x = -3 + 0
-10 + 3x = -3

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

Combine like terms: -10 + 10 = 0
0 + 3x = -3 + 10
3x = -3 + 10

Combine like terms: -3 + 10 = 7
3x = 7

Divide each side by '3'.
x = 2.333333333

Simplifying
x = 2.333333333

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