9(7x+6)=4(6x-10)

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Solution for 9(7x+6)=4(6x-10) equation:


Simplifying
9(7x + 6) = 4(6x + -10)

Reorder the terms:
9(6 + 7x) = 4(6x + -10)
(6 * 9 + 7x * 9) = 4(6x + -10)
(54 + 63x) = 4(6x + -10)

Reorder the terms:
54 + 63x = 4(-10 + 6x)
54 + 63x = (-10 * 4 + 6x * 4)
54 + 63x = (-40 + 24x)

Solving
54 + 63x = -40 + 24x

Solving for variable 'x'.

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

Add '-24x' to each side of the equation.
54 + 63x + -24x = -40 + 24x + -24x

Combine like terms: 63x + -24x = 39x
54 + 39x = -40 + 24x + -24x

Combine like terms: 24x + -24x = 0
54 + 39x = -40 + 0
54 + 39x = -40

Add '-54' to each side of the equation.
54 + -54 + 39x = -40 + -54

Combine like terms: 54 + -54 = 0
0 + 39x = -40 + -54
39x = -40 + -54

Combine like terms: -40 + -54 = -94
39x = -94

Divide each side by '39'.
x = -2.41025641

Simplifying
x = -2.41025641

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