3+3(x-3)=11-2(x-5)

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Solution for 3+3(x-3)=11-2(x-5) equation:


Simplifying
3 + 3(x + -3) = 11 + -2(x + -5)

Reorder the terms:
3 + 3(-3 + x) = 11 + -2(x + -5)
3 + (-3 * 3 + x * 3) = 11 + -2(x + -5)
3 + (-9 + 3x) = 11 + -2(x + -5)

Combine like terms: 3 + -9 = -6
-6 + 3x = 11 + -2(x + -5)

Reorder the terms:
-6 + 3x = 11 + -2(-5 + x)
-6 + 3x = 11 + (-5 * -2 + x * -2)
-6 + 3x = 11 + (10 + -2x)

Combine like terms: 11 + 10 = 21
-6 + 3x = 21 + -2x

Solving
-6 + 3x = 21 + -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 + 3x + 2x = 21 + -2x + 2x

Combine like terms: 3x + 2x = 5x
-6 + 5x = 21 + -2x + 2x

Combine like terms: -2x + 2x = 0
-6 + 5x = 21 + 0
-6 + 5x = 21

Add '6' to each side of the equation.
-6 + 6 + 5x = 21 + 6

Combine like terms: -6 + 6 = 0
0 + 5x = 21 + 6
5x = 21 + 6

Combine like terms: 21 + 6 = 27
5x = 27

Divide each side by '5'.
x = 5.4

Simplifying
x = 5.4

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