7(3x+2)=4(4x+11)

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Solution for 7(3x+2)=4(4x+11) equation:


Simplifying
7(3x + 2) = 4(4x + 11)

Reorder the terms:
7(2 + 3x) = 4(4x + 11)
(2 * 7 + 3x * 7) = 4(4x + 11)
(14 + 21x) = 4(4x + 11)

Reorder the terms:
14 + 21x = 4(11 + 4x)
14 + 21x = (11 * 4 + 4x * 4)
14 + 21x = (44 + 16x)

Solving
14 + 21x = 44 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
14 + 21x + -16x = 44 + 16x + -16x

Combine like terms: 21x + -16x = 5x
14 + 5x = 44 + 16x + -16x

Combine like terms: 16x + -16x = 0
14 + 5x = 44 + 0
14 + 5x = 44

Add '-14' to each side of the equation.
14 + -14 + 5x = 44 + -14

Combine like terms: 14 + -14 = 0
0 + 5x = 44 + -14
5x = 44 + -14

Combine like terms: 44 + -14 = 30
5x = 30

Divide each side by '5'.
x = 6

Simplifying
x = 6

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