4(x-5)-2(x+5)=24

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Solution for 4(x-5)-2(x+5)=24 equation:


Simplifying
4(x + -5) + -2(x + 5) = 24

Reorder the terms:
4(-5 + x) + -2(x + 5) = 24
(-5 * 4 + x * 4) + -2(x + 5) = 24
(-20 + 4x) + -2(x + 5) = 24

Reorder the terms:
-20 + 4x + -2(5 + x) = 24
-20 + 4x + (5 * -2 + x * -2) = 24
-20 + 4x + (-10 + -2x) = 24

Reorder the terms:
-20 + -10 + 4x + -2x = 24

Combine like terms: -20 + -10 = -30
-30 + 4x + -2x = 24

Combine like terms: 4x + -2x = 2x
-30 + 2x = 24

Solving
-30 + 2x = 24

Solving for variable 'x'.

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

Add '30' to each side of the equation.
-30 + 30 + 2x = 24 + 30

Combine like terms: -30 + 30 = 0
0 + 2x = 24 + 30
2x = 24 + 30

Combine like terms: 24 + 30 = 54
2x = 54

Divide each side by '2'.
x = 27

Simplifying
x = 27

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