3(3x-4)=8(2x-5)

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Solution for 3(3x-4)=8(2x-5) equation:


Simplifying
3(3x + -4) = 8(2x + -5)

Reorder the terms:
3(-4 + 3x) = 8(2x + -5)
(-4 * 3 + 3x * 3) = 8(2x + -5)
(-12 + 9x) = 8(2x + -5)

Reorder the terms:
-12 + 9x = 8(-5 + 2x)
-12 + 9x = (-5 * 8 + 2x * 8)
-12 + 9x = (-40 + 16x)

Solving
-12 + 9x = -40 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-12 + 9x + -16x = -40 + 16x + -16x

Combine like terms: 9x + -16x = -7x
-12 + -7x = -40 + 16x + -16x

Combine like terms: 16x + -16x = 0
-12 + -7x = -40 + 0
-12 + -7x = -40

Add '12' to each side of the equation.
-12 + 12 + -7x = -40 + 12

Combine like terms: -12 + 12 = 0
0 + -7x = -40 + 12
-7x = -40 + 12

Combine like terms: -40 + 12 = -28
-7x = -28

Divide each side by '-7'.
x = 4

Simplifying
x = 4

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