3(3x+7)=4(5+2x)

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Solution for 3(3x+7)=4(5+2x) equation:


Simplifying
3(3x + 7) = 4(5 + 2x)

Reorder the terms:
3(7 + 3x) = 4(5 + 2x)
(7 * 3 + 3x * 3) = 4(5 + 2x)
(21 + 9x) = 4(5 + 2x)
21 + 9x = (5 * 4 + 2x * 4)
21 + 9x = (20 + 8x)

Solving
21 + 9x = 20 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
21 + 9x + -8x = 20 + 8x + -8x

Combine like terms: 9x + -8x = 1x
21 + 1x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
21 + 1x = 20 + 0
21 + 1x = 20

Add '-21' to each side of the equation.
21 + -21 + 1x = 20 + -21

Combine like terms: 21 + -21 = 0
0 + 1x = 20 + -21
1x = 20 + -21

Combine like terms: 20 + -21 = -1
1x = -1

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

Simplifying
x = -1

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