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

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


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

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

Reorder the terms:
6 + 3x = 7 + -5(-3 + 2x)
6 + 3x = 7 + (-3 * -5 + 2x * -5)
6 + 3x = 7 + (15 + -10x)

Combine like terms: 7 + 15 = 22
6 + 3x = 22 + -10x

Solving
6 + 3x = 22 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
6 + 3x + 10x = 22 + -10x + 10x

Combine like terms: 3x + 10x = 13x
6 + 13x = 22 + -10x + 10x

Combine like terms: -10x + 10x = 0
6 + 13x = 22 + 0
6 + 13x = 22

Add '-6' to each side of the equation.
6 + -6 + 13x = 22 + -6

Combine like terms: 6 + -6 = 0
0 + 13x = 22 + -6
13x = 22 + -6

Combine like terms: 22 + -6 = 16
13x = 16

Divide each side by '13'.
x = 1.230769231

Simplifying
x = 1.230769231

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