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

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


Simplifying
3(2 + -1x) = 5(x + 7)
(2 * 3 + -1x * 3) = 5(x + 7)
(6 + -3x) = 5(x + 7)

Reorder the terms:
6 + -3x = 5(7 + x)
6 + -3x = (7 * 5 + x * 5)
6 + -3x = (35 + 5x)

Solving
6 + -3x = 35 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
6 + -3x + -5x = 35 + 5x + -5x

Combine like terms: -3x + -5x = -8x
6 + -8x = 35 + 5x + -5x

Combine like terms: 5x + -5x = 0
6 + -8x = 35 + 0
6 + -8x = 35

Add '-6' to each side of the equation.
6 + -6 + -8x = 35 + -6

Combine like terms: 6 + -6 = 0
0 + -8x = 35 + -6
-8x = 35 + -6

Combine like terms: 35 + -6 = 29
-8x = 29

Divide each side by '-8'.
x = -3.625

Simplifying
x = -3.625

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