4(x+5)+2(x-3)=20

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Solution for 4(x+5)+2(x-3)=20 equation: 


Simplifying
4(x + 5) + 2(x + -3) = 20

Reorder the terms:
4(5 + x) + 2(x + -3) = 20
(5 * 4 + x * 4) + 2(x + -3) = 20
(20 + 4x) + 2(x + -3) = 20

Reorder the terms:
20 + 4x + 2(-3 + x) = 20
20 + 4x + (-3 * 2 + x * 2) = 20
20 + 4x + (-6 + 2x) = 20

Reorder the terms:
20 + -6 + 4x + 2x = 20

Combine like terms: 20 + -6 = 14
14 + 4x + 2x = 20

Combine like terms: 4x + 2x = 6x
14 + 6x = 20

Solving
14 + 6x = 20

Solving for variable 'x'.

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

Add '-14' to each side of the equation.
14 + -14 + 6x = 20 + -14

Combine like terms: 14 + -14 = 0
0 + 6x = 20 + -14
6x = 20 + -14

Combine like terms: 20 + -14 = 6
6x = 6

Divide each side by '6'.
x = 1

Simplifying
x = 1

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