2(7-x)=3(x+1)

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Solution for 2(7-x)=3(x+1) equation:


Simplifying
2(7 + -1x) = 3(x + 1)
(7 * 2 + -1x * 2) = 3(x + 1)
(14 + -2x) = 3(x + 1)

Reorder the terms:
14 + -2x = 3(1 + x)
14 + -2x = (1 * 3 + x * 3)
14 + -2x = (3 + 3x)

Solving
14 + -2x = 3 + 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.
14 + -2x + -3x = 3 + 3x + -3x

Combine like terms: -2x + -3x = -5x
14 + -5x = 3 + 3x + -3x

Combine like terms: 3x + -3x = 0
14 + -5x = 3 + 0
14 + -5x = 3

Add '-14' to each side of the equation.
14 + -14 + -5x = 3 + -14

Combine like terms: 14 + -14 = 0
0 + -5x = 3 + -14
-5x = 3 + -14

Combine like terms: 3 + -14 = -11
-5x = -11

Divide each side by '-5'.
x = 2.2

Simplifying
x = 2.2

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