4(2x-1)+3(x-5)=14

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Solution for 4(2x-1)+3(x-5)=14 equation: 


Simplifying
4(2x + -1) + 3(x + -5) = 14

Reorder the terms:
4(-1 + 2x) + 3(x + -5) = 14
(-1 * 4 + 2x * 4) + 3(x + -5) = 14
(-4 + 8x) + 3(x + -5) = 14

Reorder the terms:
-4 + 8x + 3(-5 + x) = 14
-4 + 8x + (-5 * 3 + x * 3) = 14
-4 + 8x + (-15 + 3x) = 14

Reorder the terms:
-4 + -15 + 8x + 3x = 14

Combine like terms: -4 + -15 = -19
-19 + 8x + 3x = 14

Combine like terms: 8x + 3x = 11x
-19 + 11x = 14

Solving
-19 + 11x = 14

Solving for variable 'x'.

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

Add '19' to each side of the equation.
-19 + 19 + 11x = 14 + 19

Combine like terms: -19 + 19 = 0
0 + 11x = 14 + 19
11x = 14 + 19

Combine like terms: 14 + 19 = 33
11x = 33

Divide each side by '11'.
x = 3

Simplifying
x = 3

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