3(2x-1)+2(x+4)=5x+11

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Solution for 3(2x-1)+2(x+4)=5x+11 equation:


Simplifying
3(2x + -1) + 2(x + 4) = 5x + 11

Reorder the terms:
3(-1 + 2x) + 2(x + 4) = 5x + 11
(-1 * 3 + 2x * 3) + 2(x + 4) = 5x + 11
(-3 + 6x) + 2(x + 4) = 5x + 11

Reorder the terms:
-3 + 6x + 2(4 + x) = 5x + 11
-3 + 6x + (4 * 2 + x * 2) = 5x + 11
-3 + 6x + (8 + 2x) = 5x + 11

Reorder the terms:
-3 + 8 + 6x + 2x = 5x + 11

Combine like terms: -3 + 8 = 5
5 + 6x + 2x = 5x + 11

Combine like terms: 6x + 2x = 8x
5 + 8x = 5x + 11

Reorder the terms:
5 + 8x = 11 + 5x

Solving
5 + 8x = 11 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
5 + 8x + -5x = 11 + 5x + -5x

Combine like terms: 8x + -5x = 3x
5 + 3x = 11 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + 3x = 11 + 0
5 + 3x = 11

Add '-5' to each side of the equation.
5 + -5 + 3x = 11 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 11 + -5
3x = 11 + -5

Combine like terms: 11 + -5 = 6
3x = 6

Divide each side by '3'.
x = 2

Simplifying
x = 2

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