3(4[3x+1-10-9])=7x+9

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Solution for 3(4[3x+1-10-9])=7x+9 equation:


Simplifying
3(4[3x + 1 + -10 + -9]) = 7x + 9

Reorder the terms:
3(4[1 + -10 + -9 + 3x]) = 7x + 9

Combine like terms: 1 + -10 = -9
3(4[-9 + -9 + 3x]) = 7x + 9

Combine like terms: -9 + -9 = -18
3(4[-18 + 3x]) = 7x + 9
3([-18 * 4 + 3x * 4]) = 7x + 9
3([-72 + 12x]) = 7x + 9
(-72 * 3 + 12x * 3) = 7x + 9
(-216 + 36x) = 7x + 9

Reorder the terms:
-216 + 36x = 9 + 7x

Solving
-216 + 36x = 9 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-216 + 36x + -7x = 9 + 7x + -7x

Combine like terms: 36x + -7x = 29x
-216 + 29x = 9 + 7x + -7x

Combine like terms: 7x + -7x = 0
-216 + 29x = 9 + 0
-216 + 29x = 9

Add '216' to each side of the equation.
-216 + 216 + 29x = 9 + 216

Combine like terms: -216 + 216 = 0
0 + 29x = 9 + 216
29x = 9 + 216

Combine like terms: 9 + 216 = 225
29x = 225

Divide each side by '29'.
x = 7.75862069

Simplifying
x = 7.75862069

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