5x-7+3(4x-9)=204

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Solution for 5x-7+3(4x-9)=204 equation:


Simplifying
5x + -7 + 3(4x + -9) = 204

Reorder the terms:
5x + -7 + 3(-9 + 4x) = 204
5x + -7 + (-9 * 3 + 4x * 3) = 204
5x + -7 + (-27 + 12x) = 204

Reorder the terms:
-7 + -27 + 5x + 12x = 204

Combine like terms: -7 + -27 = -34
-34 + 5x + 12x = 204

Combine like terms: 5x + 12x = 17x
-34 + 17x = 204

Solving
-34 + 17x = 204

Solving for variable 'x'.

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

Add '34' to each side of the equation.
-34 + 34 + 17x = 204 + 34

Combine like terms: -34 + 34 = 0
0 + 17x = 204 + 34
17x = 204 + 34

Combine like terms: 204 + 34 = 238
17x = 238

Divide each side by '17'.
x = 14

Simplifying
x = 14

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