8(2x-5)+3(x+9)=44

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Solution for 8(2x-5)+3(x+9)=44 equation:


Simplifying
8(2x + -5) + 3(x + 9) = 44

Reorder the terms:
8(-5 + 2x) + 3(x + 9) = 44
(-5 * 8 + 2x * 8) + 3(x + 9) = 44
(-40 + 16x) + 3(x + 9) = 44

Reorder the terms:
-40 + 16x + 3(9 + x) = 44
-40 + 16x + (9 * 3 + x * 3) = 44
-40 + 16x + (27 + 3x) = 44

Reorder the terms:
-40 + 27 + 16x + 3x = 44

Combine like terms: -40 + 27 = -13
-13 + 16x + 3x = 44

Combine like terms: 16x + 3x = 19x
-13 + 19x = 44

Solving
-13 + 19x = 44

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 + 19x = 44 + 13

Combine like terms: -13 + 13 = 0
0 + 19x = 44 + 13
19x = 44 + 13

Combine like terms: 44 + 13 = 57
19x = 57

Divide each side by '19'.
x = 3

Simplifying
x = 3

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