7x+10+3(4-9x)=182

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Solution for 7x+10+3(4-9x)=182 equation:


Simplifying
7x + 10 + 3(4 + -9x) = 182
7x + 10 + (4 * 3 + -9x * 3) = 182
7x + 10 + (12 + -27x) = 182

Reorder the terms:
10 + 12 + 7x + -27x = 182

Combine like terms: 10 + 12 = 22
22 + 7x + -27x = 182

Combine like terms: 7x + -27x = -20x
22 + -20x = 182

Solving
22 + -20x = 182

Solving for variable 'x'.

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

Add '-22' to each side of the equation.
22 + -22 + -20x = 182 + -22

Combine like terms: 22 + -22 = 0
0 + -20x = 182 + -22
-20x = 182 + -22

Combine like terms: 182 + -22 = 160
-20x = 160

Divide each side by '-20'.
x = -8

Simplifying
x = -8

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