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

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


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

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

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

Combine like terms: -15 + 3 = -12
-12 + 3x = 2x + -3

Reorder the terms:
-12 + 3x = -3 + 2x

Solving
-12 + 3x = -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.
-12 + 3x + -2x = -3 + 2x + -2x

Combine like terms: 3x + -2x = 1x
-12 + 1x = -3 + 2x + -2x

Combine like terms: 2x + -2x = 0
-12 + 1x = -3 + 0
-12 + 1x = -3

Add '12' to each side of the equation.
-12 + 12 + 1x = -3 + 12

Combine like terms: -12 + 12 = 0
0 + 1x = -3 + 12
1x = -3 + 12

Combine like terms: -3 + 12 = 9
1x = 9

Divide each side by '1'.
x = 9

Simplifying
x = 9

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