7(3x-4)=9x-52

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Solution for 7(3x-4)=9x-52 equation:


Simplifying
7(3x + -4) = 9x + -52

Reorder the terms:
7(-4 + 3x) = 9x + -52
(-4 * 7 + 3x * 7) = 9x + -52
(-28 + 21x) = 9x + -52

Reorder the terms:
-28 + 21x = -52 + 9x

Solving
-28 + 21x = -52 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-28 + 21x + -9x = -52 + 9x + -9x

Combine like terms: 21x + -9x = 12x
-28 + 12x = -52 + 9x + -9x

Combine like terms: 9x + -9x = 0
-28 + 12x = -52 + 0
-28 + 12x = -52

Add '28' to each side of the equation.
-28 + 28 + 12x = -52 + 28

Combine like terms: -28 + 28 = 0
0 + 12x = -52 + 28
12x = -52 + 28

Combine like terms: -52 + 28 = -24
12x = -24

Divide each side by '12'.
x = -2

Simplifying
x = -2

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