7[(2x+4)+9]=6(5x+6)

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Solution for 7[(2x+4)+9]=6(5x+6) equation:


Simplifying
7[(2x + 4) + 9] = 6(5x + 6)

Reorder the terms:
7[(4 + 2x) + 9] = 6(5x + 6)

Remove parenthesis around (4 + 2x)
7[4 + 2x + 9] = 6(5x + 6)

Reorder the terms:
7[4 + 9 + 2x] = 6(5x + 6)

Combine like terms: 4 + 9 = 13
7[13 + 2x] = 6(5x + 6)
[13 * 7 + 2x * 7] = 6(5x + 6)
[91 + 14x] = 6(5x + 6)

Reorder the terms:
91 + 14x = 6(6 + 5x)
91 + 14x = (6 * 6 + 5x * 6)
91 + 14x = (36 + 30x)

Solving
91 + 14x = 36 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
91 + 14x + -30x = 36 + 30x + -30x

Combine like terms: 14x + -30x = -16x
91 + -16x = 36 + 30x + -30x

Combine like terms: 30x + -30x = 0
91 + -16x = 36 + 0
91 + -16x = 36

Add '-91' to each side of the equation.
91 + -91 + -16x = 36 + -91

Combine like terms: 91 + -91 = 0
0 + -16x = 36 + -91
-16x = 36 + -91

Combine like terms: 36 + -91 = -55
-16x = -55

Divide each side by '-16'.
x = 3.4375

Simplifying
x = 3.4375

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