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

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


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

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

Combine like terms: 7 + -15 = -8
-8 + 5x = 3(x + 2)

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

Solving
-8 + 5x = 6 + 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.
-8 + 5x + -3x = 6 + 3x + -3x

Combine like terms: 5x + -3x = 2x
-8 + 2x = 6 + 3x + -3x

Combine like terms: 3x + -3x = 0
-8 + 2x = 6 + 0
-8 + 2x = 6

Add '8' to each side of the equation.
-8 + 8 + 2x = 6 + 8

Combine like terms: -8 + 8 = 0
0 + 2x = 6 + 8
2x = 6 + 8

Combine like terms: 6 + 8 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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