6(5x-4)=7(4x+5)-9

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Solution for 6(5x-4)=7(4x+5)-9 equation:


Simplifying
6(5x + -4) = 7(4x + 5) + -9

Reorder the terms:
6(-4 + 5x) = 7(4x + 5) + -9
(-4 * 6 + 5x * 6) = 7(4x + 5) + -9
(-24 + 30x) = 7(4x + 5) + -9

Reorder the terms:
-24 + 30x = 7(5 + 4x) + -9
-24 + 30x = (5 * 7 + 4x * 7) + -9
-24 + 30x = (35 + 28x) + -9

Reorder the terms:
-24 + 30x = 35 + -9 + 28x

Combine like terms: 35 + -9 = 26
-24 + 30x = 26 + 28x

Solving
-24 + 30x = 26 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
-24 + 30x + -28x = 26 + 28x + -28x

Combine like terms: 30x + -28x = 2x
-24 + 2x = 26 + 28x + -28x

Combine like terms: 28x + -28x = 0
-24 + 2x = 26 + 0
-24 + 2x = 26

Add '24' to each side of the equation.
-24 + 24 + 2x = 26 + 24

Combine like terms: -24 + 24 = 0
0 + 2x = 26 + 24
2x = 26 + 24

Combine like terms: 26 + 24 = 50
2x = 50

Divide each side by '2'.
x = 25

Simplifying
x = 25

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