3(7x-2)=6(4x-5)

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Solution for 3(7x-2)=6(4x-5) equation:


Simplifying
3(7x + -2) = 6(4x + -5)

Reorder the terms:
3(-2 + 7x) = 6(4x + -5)
(-2 * 3 + 7x * 3) = 6(4x + -5)
(-6 + 21x) = 6(4x + -5)

Reorder the terms:
-6 + 21x = 6(-5 + 4x)
-6 + 21x = (-5 * 6 + 4x * 6)
-6 + 21x = (-30 + 24x)

Solving
-6 + 21x = -30 + 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.
-6 + 21x + -24x = -30 + 24x + -24x

Combine like terms: 21x + -24x = -3x
-6 + -3x = -30 + 24x + -24x

Combine like terms: 24x + -24x = 0
-6 + -3x = -30 + 0
-6 + -3x = -30

Add '6' to each side of the equation.
-6 + 6 + -3x = -30 + 6

Combine like terms: -6 + 6 = 0
0 + -3x = -30 + 6
-3x = -30 + 6

Combine like terms: -30 + 6 = -24
-3x = -24

Divide each side by '-3'.
x = 8

Simplifying
x = 8

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