6.5x-2*(x+5)=4-2*(3-x)+22

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Solution for 6.5x-2*(x+5)=4-2*(3-x)+22 equation:


Simplifying
6.5x + -2(x + 5) = 4 + -2(3 + -1x) + 22

Reorder the terms:
6.5x + -2(5 + x) = 4 + -2(3 + -1x) + 22
6.5x + (5 * -2 + x * -2) = 4 + -2(3 + -1x) + 22
6.5x + (-10 + -2x) = 4 + -2(3 + -1x) + 22

Reorder the terms:
-10 + 6.5x + -2x = 4 + -2(3 + -1x) + 22

Combine like terms: 6.5x + -2x = 4.5x
-10 + 4.5x = 4 + -2(3 + -1x) + 22
-10 + 4.5x = 4 + (3 * -2 + -1x * -2) + 22
-10 + 4.5x = 4 + (-6 + 2x) + 22

Reorder the terms:
-10 + 4.5x = 4 + -6 + 22 + 2x

Combine like terms: 4 + -6 = -2
-10 + 4.5x = -2 + 22 + 2x

Combine like terms: -2 + 22 = 20
-10 + 4.5x = 20 + 2x

Solving
-10 + 4.5x = 20 + 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.
-10 + 4.5x + -2x = 20 + 2x + -2x

Combine like terms: 4.5x + -2x = 2.5x
-10 + 2.5x = 20 + 2x + -2x

Combine like terms: 2x + -2x = 0
-10 + 2.5x = 20 + 0
-10 + 2.5x = 20

Add '10' to each side of the equation.
-10 + 10 + 2.5x = 20 + 10

Combine like terms: -10 + 10 = 0
0 + 2.5x = 20 + 10
2.5x = 20 + 10

Combine like terms: 20 + 10 = 30
2.5x = 30

Divide each side by '2.5'.
x = 12

Simplifying
x = 12

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