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

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


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

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

Reorder the terms:
6 + 3x = 2(-11 + 5x)
6 + 3x = (-11 * 2 + 5x * 2)
6 + 3x = (-22 + 10x)

Solving
6 + 3x = -22 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
6 + 3x + -10x = -22 + 10x + -10x

Combine like terms: 3x + -10x = -7x
6 + -7x = -22 + 10x + -10x

Combine like terms: 10x + -10x = 0
6 + -7x = -22 + 0
6 + -7x = -22

Add '-6' to each side of the equation.
6 + -6 + -7x = -22 + -6

Combine like terms: 6 + -6 = 0
0 + -7x = -22 + -6
-7x = -22 + -6

Combine like terms: -22 + -6 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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