(4x-9)+8(2x+3)-7x=0

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Solution for (4x-9)+8(2x+3)-7x=0 equation:


Simplifying
(4x + -9) + 8(2x + 3) + -7x = 0

Reorder the terms:
(-9 + 4x) + 8(2x + 3) + -7x = 0

Remove parenthesis around (-9 + 4x)
-9 + 4x + 8(2x + 3) + -7x = 0

Reorder the terms:
-9 + 4x + 8(3 + 2x) + -7x = 0
-9 + 4x + (3 * 8 + 2x * 8) + -7x = 0
-9 + 4x + (24 + 16x) + -7x = 0

Reorder the terms:
-9 + 24 + 4x + 16x + -7x = 0

Combine like terms: -9 + 24 = 15
15 + 4x + 16x + -7x = 0

Combine like terms: 4x + 16x = 20x
15 + 20x + -7x = 0

Combine like terms: 20x + -7x = 13x
15 + 13x = 0

Solving
15 + 13x = 0

Solving for variable 'x'.

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

Add '-15' to each side of the equation.
15 + -15 + 13x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 13x = 0 + -15
13x = 0 + -15

Combine like terms: 0 + -15 = -15
13x = -15

Divide each side by '13'.
x = -1.153846154

Simplifying
x = -1.153846154

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