7(3x-2)+5=6(2x-1)+24

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Solution for 7(3x-2)+5=6(2x-1)+24 equation:


Simplifying
7(3x + -2) + 5 = 6(2x + -1) + 24

Reorder the terms:
7(-2 + 3x) + 5 = 6(2x + -1) + 24
(-2 * 7 + 3x * 7) + 5 = 6(2x + -1) + 24
(-14 + 21x) + 5 = 6(2x + -1) + 24

Reorder the terms:
-14 + 5 + 21x = 6(2x + -1) + 24

Combine like terms: -14 + 5 = -9
-9 + 21x = 6(2x + -1) + 24

Reorder the terms:
-9 + 21x = 6(-1 + 2x) + 24
-9 + 21x = (-1 * 6 + 2x * 6) + 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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