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

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


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

Reorder the terms:
2x + -5(2 + x) = 4 + -5(x + -2)
2x + (2 * -5 + x * -5) = 4 + -5(x + -2)
2x + (-10 + -5x) = 4 + -5(x + -2)

Reorder the terms:
-10 + 2x + -5x = 4 + -5(x + -2)

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

Reorder the terms:
-10 + -3x = 4 + -5(-2 + x)
-10 + -3x = 4 + (-2 * -5 + x * -5)
-10 + -3x = 4 + (10 + -5x)

Combine like terms: 4 + 10 = 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 = 2x
-10 + 2x = 14 + -5x + 5x

Combine like terms: -5x + 5x = 0
-10 + 2x = 14 + 0
-10 + 2x = 14

Add '10' to each side of the equation.
-10 + 10 + 2x = 14 + 10

Combine like terms: -10 + 10 = 0
0 + 2x = 14 + 10
2x = 14 + 10

Combine like terms: 14 + 10 = 24
2x = 24

Divide each side by '2'.
x = 12

Simplifying
x = 12

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