2(3x+5)=26-(6-3x)

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Solution for 2(3x+5)=26-(6-3x) equation:


Simplifying
2(3x + 5) = 26 + -1(6 + -3x)

Reorder the terms:
2(5 + 3x) = 26 + -1(6 + -3x)
(5 * 2 + 3x * 2) = 26 + -1(6 + -3x)
(10 + 6x) = 26 + -1(6 + -3x)
10 + 6x = 26 + (6 * -1 + -3x * -1)
10 + 6x = 26 + (-6 + 3x)

Combine like terms: 26 + -6 = 20
10 + 6x = 20 + 3x

Solving
10 + 6x = 20 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
10 + 6x + -3x = 20 + 3x + -3x

Combine like terms: 6x + -3x = 3x
10 + 3x = 20 + 3x + -3x

Combine like terms: 3x + -3x = 0
10 + 3x = 20 + 0
10 + 3x = 20

Add '-10' to each side of the equation.
10 + -10 + 3x = 20 + -10

Combine like terms: 10 + -10 = 0
0 + 3x = 20 + -10
3x = 20 + -10

Combine like terms: 20 + -10 = 10
3x = 10

Divide each side by '3'.
x = 3.333333333

Simplifying
x = 3.333333333

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