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

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


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

Reorder the terms:
4(-5 + x) = 4x + -2(x + 5)
(-5 * 4 + x * 4) = 4x + -2(x + 5)
(-20 + 4x) = 4x + -2(x + 5)

Reorder the terms:
-20 + 4x = 4x + -2(5 + x)
-20 + 4x = 4x + (5 * -2 + x * -2)
-20 + 4x = 4x + (-10 + -2x)

Reorder the terms:
-20 + 4x = -10 + 4x + -2x

Combine like terms: 4x + -2x = 2x
-20 + 4x = -10 + 2x

Solving
-20 + 4x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-20 + 4x + -2x = -10 + 2x + -2x

Combine like terms: 4x + -2x = 2x
-20 + 2x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 2x = -10 + 0
-20 + 2x = -10

Add '20' to each side of the equation.
-20 + 20 + 2x = -10 + 20

Combine like terms: -20 + 20 = 0
0 + 2x = -10 + 20
2x = -10 + 20

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

Divide each side by '2'.
x = 5

Simplifying
x = 5

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