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

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


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

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

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

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

Reorder the terms:
2 + 3x = 2(5 + 2x)
2 + 3x = (5 * 2 + 2x * 2)
2 + 3x = (10 + 4x)

Solving
2 + 3x = 10 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
2 + 3x + -4x = 10 + 4x + -4x

Combine like terms: 3x + -4x = -1x
2 + -1x = 10 + 4x + -4x

Combine like terms: 4x + -4x = 0
2 + -1x = 10 + 0
2 + -1x = 10

Add '-2' to each side of the equation.
2 + -2 + -1x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + -1x = 10 + -2
-1x = 10 + -2

Combine like terms: 10 + -2 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

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