9(4x-1)=7(2x+5)

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Solution for 9(4x-1)=7(2x+5) equation:


Simplifying
9(4x + -1) = 7(2x + 5)

Reorder the terms:
9(-1 + 4x) = 7(2x + 5)
(-1 * 9 + 4x * 9) = 7(2x + 5)
(-9 + 36x) = 7(2x + 5)

Reorder the terms:
-9 + 36x = 7(5 + 2x)
-9 + 36x = (5 * 7 + 2x * 7)
-9 + 36x = (35 + 14x)

Solving
-9 + 36x = 35 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-9 + 36x + -14x = 35 + 14x + -14x

Combine like terms: 36x + -14x = 22x
-9 + 22x = 35 + 14x + -14x

Combine like terms: 14x + -14x = 0
-9 + 22x = 35 + 0
-9 + 22x = 35

Add '9' to each side of the equation.
-9 + 9 + 22x = 35 + 9

Combine like terms: -9 + 9 = 0
0 + 22x = 35 + 9
22x = 35 + 9

Combine like terms: 35 + 9 = 44
22x = 44

Divide each side by '22'.
x = 2

Simplifying
x = 2

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