2(3x+5)-3(4x+1)=-41

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Solution for 2(3x+5)-3(4x+1)=-41 equation:


Simplifying
2(3x + 5) + -3(4x + 1) = -41

Reorder the terms:
2(5 + 3x) + -3(4x + 1) = -41
(5 * 2 + 3x * 2) + -3(4x + 1) = -41
(10 + 6x) + -3(4x + 1) = -41

Reorder the terms:
10 + 6x + -3(1 + 4x) = -41
10 + 6x + (1 * -3 + 4x * -3) = -41
10 + 6x + (-3 + -12x) = -41

Reorder the terms:
10 + -3 + 6x + -12x = -41

Combine like terms: 10 + -3 = 7
7 + 6x + -12x = -41

Combine like terms: 6x + -12x = -6x
7 + -6x = -41

Solving
7 + -6x = -41

Solving for variable 'x'.

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

Add '-7' to each side of the equation.
7 + -7 + -6x = -41 + -7

Combine like terms: 7 + -7 = 0
0 + -6x = -41 + -7
-6x = -41 + -7

Combine like terms: -41 + -7 = -48
-6x = -48

Divide each side by '-6'.
x = 8

Simplifying
x = 8

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