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

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


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

Reorder the terms:
3(5 + 3x) = 2(4x + 7)
(5 * 3 + 3x * 3) = 2(4x + 7)
(15 + 9x) = 2(4x + 7)

Reorder the terms:
15 + 9x = 2(7 + 4x)
15 + 9x = (7 * 2 + 4x * 2)
15 + 9x = (14 + 8x)

Solving
15 + 9x = 14 + 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.
15 + 9x + -8x = 14 + 8x + -8x

Combine like terms: 9x + -8x = 1x
15 + 1x = 14 + 8x + -8x

Combine like terms: 8x + -8x = 0
15 + 1x = 14 + 0
15 + 1x = 14

Add '-15' to each side of the equation.
15 + -15 + 1x = 14 + -15

Combine like terms: 15 + -15 = 0
0 + 1x = 14 + -15
1x = 14 + -15

Combine like terms: 14 + -15 = -1
1x = -1

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

Simplifying
x = -1

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