2(x-5)+1.5(6x+4)=44

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Solution for 2(x-5)+1.5(6x+4)=44 equation:


Simplifying
2(x + -5) + 1.5(6x + 4) = 44

Reorder the terms:
2(-5 + x) + 1.5(6x + 4) = 44
(-5 * 2 + x * 2) + 1.5(6x + 4) = 44
(-10 + 2x) + 1.5(6x + 4) = 44

Reorder the terms:
-10 + 2x + 1.5(4 + 6x) = 44
-10 + 2x + (4 * 1.5 + 6x * 1.5) = 44
-10 + 2x + (6 + 9x) = 44

Reorder the terms:
-10 + 6 + 2x + 9x = 44

Combine like terms: -10 + 6 = -4
-4 + 2x + 9x = 44

Combine like terms: 2x + 9x = 11x
-4 + 11x = 44

Solving
-4 + 11x = 44

Solving for variable 'x'.

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

Add '4' to each side of the equation.
-4 + 4 + 11x = 44 + 4

Combine like terms: -4 + 4 = 0
0 + 11x = 44 + 4
11x = 44 + 4

Combine like terms: 44 + 4 = 48
11x = 48

Divide each side by '11'.
x = 4.363636364

Simplifying
x = 4.363636364

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