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

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


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

Reorder the terms:
4(-1 + 2x) + 3(x + -4) = 17
(-1 * 4 + 2x * 4) + 3(x + -4) = 17
(-4 + 8x) + 3(x + -4) = 17

Reorder the terms:
-4 + 8x + 3(-4 + x) = 17
-4 + 8x + (-4 * 3 + x * 3) = 17
-4 + 8x + (-12 + 3x) = 17

Reorder the terms:
-4 + -12 + 8x + 3x = 17

Combine like terms: -4 + -12 = -16
-16 + 8x + 3x = 17

Combine like terms: 8x + 3x = 11x
-16 + 11x = 17

Solving
-16 + 11x = 17

Solving for variable 'x'.

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

Add '16' to each side of the equation.
-16 + 16 + 11x = 17 + 16

Combine like terms: -16 + 16 = 0
0 + 11x = 17 + 16
11x = 17 + 16

Combine like terms: 17 + 16 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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