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

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


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

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

Reorder the terms:
-10 + -5x = 3(3 + x)
-10 + -5x = (3 * 3 + x * 3)
-10 + -5x = (9 + 3x)

Solving
-10 + -5x = 9 + 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.
-10 + -5x + -3x = 9 + 3x + -3x

Combine like terms: -5x + -3x = -8x
-10 + -8x = 9 + 3x + -3x

Combine like terms: 3x + -3x = 0
-10 + -8x = 9 + 0
-10 + -8x = 9

Add '10' to each side of the equation.
-10 + 10 + -8x = 9 + 10

Combine like terms: -10 + 10 = 0
0 + -8x = 9 + 10
-8x = 9 + 10

Combine like terms: 9 + 10 = 19
-8x = 19

Divide each side by '-8'.
x = -2.375

Simplifying
x = -2.375

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