3(7x-5)+6=3(4x-2)+24

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Solution for 3(7x-5)+6=3(4x-2)+24 equation:


Simplifying
3(7x + -5) + 6 = 3(4x + -2) + 24

Reorder the terms:
3(-5 + 7x) + 6 = 3(4x + -2) + 24
(-5 * 3 + 7x * 3) + 6 = 3(4x + -2) + 24
(-15 + 21x) + 6 = 3(4x + -2) + 24

Reorder the terms:
-15 + 6 + 21x = 3(4x + -2) + 24

Combine like terms: -15 + 6 = -9
-9 + 21x = 3(4x + -2) + 24

Reorder the terms:
-9 + 21x = 3(-2 + 4x) + 24
-9 + 21x = (-2 * 3 + 4x * 3) + 24
-9 + 21x = (-6 + 12x) + 24

Reorder the terms:
-9 + 21x = -6 + 24 + 12x

Combine like terms: -6 + 24 = 18
-9 + 21x = 18 + 12x

Solving
-9 + 21x = 18 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-9 + 21x + -12x = 18 + 12x + -12x

Combine like terms: 21x + -12x = 9x
-9 + 9x = 18 + 12x + -12x

Combine like terms: 12x + -12x = 0
-9 + 9x = 18 + 0
-9 + 9x = 18

Add '9' to each side of the equation.
-9 + 9 + 9x = 18 + 9

Combine like terms: -9 + 9 = 0
0 + 9x = 18 + 9
9x = 18 + 9

Combine like terms: 18 + 9 = 27
9x = 27

Divide each side by '9'.
x = 3

Simplifying
x = 3

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