2(3x-8)=5-7x

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Solution for 2(3x-8)=5-7x equation:


Simplifying
2(3x + -8) = 5 + -7x

Reorder the terms:
2(-8 + 3x) = 5 + -7x
(-8 * 2 + 3x * 2) = 5 + -7x
(-16 + 6x) = 5 + -7x

Solving
-16 + 6x = 5 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-16 + 6x + 7x = 5 + -7x + 7x

Combine like terms: 6x + 7x = 13x
-16 + 13x = 5 + -7x + 7x

Combine like terms: -7x + 7x = 0
-16 + 13x = 5 + 0
-16 + 13x = 5

Add '16' to each side of the equation.
-16 + 16 + 13x = 5 + 16

Combine like terms: -16 + 16 = 0
0 + 13x = 5 + 16
13x = 5 + 16

Combine like terms: 5 + 16 = 21
13x = 21

Divide each side by '13'.
x = 1.615384615

Simplifying
x = 1.615384615

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