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

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


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

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

Combine like terms: 7 + 8 = 15
15 + 2x = 3(3x + 5)

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 15 + -15 + 9x

Combine like terms: 15 + -15 = 0
0 + 2x = 15 + -15 + 9x
2x = 15 + -15 + 9x

Combine like terms: 15 + -15 = 0
2x = 0 + 9x
2x = 9x

Solving
2x = 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
2x + -9x = 9x + -9x

Combine like terms: 2x + -9x = -7x
-7x = 9x + -9x

Combine like terms: 9x + -9x = 0
-7x = 0

Divide each side by '-7'.
x = 0

Simplifying
x = 0

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