2(3x-5)+3(3x-4)=17

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Solution for 2(3x-5)+3(3x-4)=17 equation:


Simplifying
2(3x + -5) + 3(3x + -4) = 17

Reorder the terms:
2(-5 + 3x) + 3(3x + -4) = 17
(-5 * 2 + 3x * 2) + 3(3x + -4) = 17
(-10 + 6x) + 3(3x + -4) = 17

Reorder the terms:
-10 + 6x + 3(-4 + 3x) = 17
-10 + 6x + (-4 * 3 + 3x * 3) = 17
-10 + 6x + (-12 + 9x) = 17

Reorder the terms:
-10 + -12 + 6x + 9x = 17

Combine like terms: -10 + -12 = -22
-22 + 6x + 9x = 17

Combine like terms: 6x + 9x = 15x
-22 + 15x = 17

Solving
-22 + 15x = 17

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 + 15x = 17 + 22

Combine like terms: -22 + 22 = 0
0 + 15x = 17 + 22
15x = 17 + 22

Combine like terms: 17 + 22 = 39
15x = 39

Divide each side by '15'.
x = 2.6

Simplifying
x = 2.6

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