3(2x-3)+4(x-1)=17

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Solution for 3(2x-3)+4(x-1)=17 equation:


Simplifying
3(2x + -3) + 4(x + -1) = 17

Reorder the terms:
3(-3 + 2x) + 4(x + -1) = 17
(-3 * 3 + 2x * 3) + 4(x + -1) = 17
(-9 + 6x) + 4(x + -1) = 17

Reorder the terms:
-9 + 6x + 4(-1 + x) = 17
-9 + 6x + (-1 * 4 + x * 4) = 17
-9 + 6x + (-4 + 4x) = 17

Reorder the terms:
-9 + -4 + 6x + 4x = 17

Combine like terms: -9 + -4 = -13
-13 + 6x + 4x = 17

Combine like terms: 6x + 4x = 10x
-13 + 10x = 17

Solving
-13 + 10x = 17

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 10x = 17 + 13

Combine like terms: -13 + 13 = 0
0 + 10x = 17 + 13
10x = 17 + 13

Combine like terms: 17 + 13 = 30
10x = 30

Divide each side by '10'.
x = 3

Simplifying
x = 3

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