3(2x+2)+4(3x+1)=4(4x+7)

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Solution for 3(2x+2)+4(3x+1)=4(4x+7) equation:


Simplifying
3(2x + 2) + 4(3x + 1) = 4(4x + 7)

Reorder the terms:
3(2 + 2x) + 4(3x + 1) = 4(4x + 7)
(2 * 3 + 2x * 3) + 4(3x + 1) = 4(4x + 7)
(6 + 6x) + 4(3x + 1) = 4(4x + 7)

Reorder the terms:
6 + 6x + 4(1 + 3x) = 4(4x + 7)
6 + 6x + (1 * 4 + 3x * 4) = 4(4x + 7)
6 + 6x + (4 + 12x) = 4(4x + 7)

Reorder the terms:
6 + 4 + 6x + 12x = 4(4x + 7)

Combine like terms: 6 + 4 = 10
10 + 6x + 12x = 4(4x + 7)

Combine like terms: 6x + 12x = 18x
10 + 18x = 4(4x + 7)

Reorder the terms:
10 + 18x = 4(7 + 4x)
10 + 18x = (7 * 4 + 4x * 4)
10 + 18x = (28 + 16x)

Solving
10 + 18x = 28 + 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.
10 + 18x + -16x = 28 + 16x + -16x

Combine like terms: 18x + -16x = 2x
10 + 2x = 28 + 16x + -16x

Combine like terms: 16x + -16x = 0
10 + 2x = 28 + 0
10 + 2x = 28

Add '-10' to each side of the equation.
10 + -10 + 2x = 28 + -10

Combine like terms: 10 + -10 = 0
0 + 2x = 28 + -10
2x = 28 + -10

Combine like terms: 28 + -10 = 18
2x = 18

Divide each side by '2'.
x = 9

Simplifying
x = 9

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