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

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


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

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

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

Combine like terms: 2x + 5x = 7x
-20 + 7x = 2(x + 3)

Reorder the terms:
-20 + 7x = 2(3 + x)
-20 + 7x = (3 * 2 + x * 2)
-20 + 7x = (6 + 2x)

Solving
-20 + 7x = 6 + 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 + 7x + -2x = 6 + 2x + -2x

Combine like terms: 7x + -2x = 5x
-20 + 5x = 6 + 2x + -2x

Combine like terms: 2x + -2x = 0
-20 + 5x = 6 + 0
-20 + 5x = 6

Add '20' to each side of the equation.
-20 + 20 + 5x = 6 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = 6 + 20
5x = 6 + 20

Combine like terms: 6 + 20 = 26
5x = 26

Divide each side by '5'.
x = 5.2

Simplifying
x = 5.2

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