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

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


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

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

Reorder the terms:
-15 + 5x + 3(3 + x) = 2x + -3
-15 + 5x + (3 * 3 + x * 3) = 2x + -3
-15 + 5x + (9 + 3x) = 2x + -3

Reorder the terms:
-15 + 9 + 5x + 3x = 2x + -3

Combine like terms: -15 + 9 = -6
-6 + 5x + 3x = 2x + -3

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

Reorder the terms:
-6 + 8x = -3 + 2x

Solving
-6 + 8x = -3 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-6 + 8x + -2x = -3 + 2x + -2x

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

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

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

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

Combine like terms: -3 + 6 = 3
6x = 3

Divide each side by '6'.
x = 0.5

Simplifying
x = 0.5

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