3(x+7)=2(2x+11)

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Solution for 3(x+7)=2(2x+11) equation:


Simplifying
3(x + 7) = 2(2x + 11)

Reorder the terms:
3(7 + x) = 2(2x + 11)
(7 * 3 + x * 3) = 2(2x + 11)
(21 + 3x) = 2(2x + 11)

Reorder the terms:
21 + 3x = 2(11 + 2x)
21 + 3x = (11 * 2 + 2x * 2)
21 + 3x = (22 + 4x)

Solving
21 + 3x = 22 + 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.
21 + 3x + -4x = 22 + 4x + -4x

Combine like terms: 3x + -4x = -1x
21 + -1x = 22 + 4x + -4x

Combine like terms: 4x + -4x = 0
21 + -1x = 22 + 0
21 + -1x = 22

Add '-21' to each side of the equation.
21 + -21 + -1x = 22 + -21

Combine like terms: 21 + -21 = 0
0 + -1x = 22 + -21
-1x = 22 + -21

Combine like terms: 22 + -21 = 1
-1x = 1

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

Simplifying
x = -1

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