6(x-2)-4(x+5)=20

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Solution for 6(x-2)-4(x+5)=20 equation: 


Simplifying
6(x + -2) + -4(x + 5) = 20

Reorder the terms:
6(-2 + x) + -4(x + 5) = 20
(-2 * 6 + x * 6) + -4(x + 5) = 20
(-12 + 6x) + -4(x + 5) = 20

Reorder the terms:
-12 + 6x + -4(5 + x) = 20
-12 + 6x + (5 * -4 + x * -4) = 20
-12 + 6x + (-20 + -4x) = 20

Reorder the terms:
-12 + -20 + 6x + -4x = 20

Combine like terms: -12 + -20 = -32
-32 + 6x + -4x = 20

Combine like terms: 6x + -4x = 2x
-32 + 2x = 20

Solving
-32 + 2x = 20

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 32 + 2x = 20 + 32

Combine like terms: -32 + 32 = 0
0 + 2x = 20 + 32
2x = 20 + 32

Combine like terms: 20 + 32 = 52
2x = 52

Divide each side by '2'.
x = 26

Simplifying
x = 26

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