5(3x+2)-4(x+3)=42

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Solution for 5(3x+2)-4(x+3)=42 equation:


Simplifying
5(3x + 2) + -4(x + 3) = 42

Reorder the terms:
5(2 + 3x) + -4(x + 3) = 42
(2 * 5 + 3x * 5) + -4(x + 3) = 42
(10 + 15x) + -4(x + 3) = 42

Reorder the terms:
10 + 15x + -4(3 + x) = 42
10 + 15x + (3 * -4 + x * -4) = 42
10 + 15x + (-12 + -4x) = 42

Reorder the terms:
10 + -12 + 15x + -4x = 42

Combine like terms: 10 + -12 = -2
-2 + 15x + -4x = 42

Combine like terms: 15x + -4x = 11x
-2 + 11x = 42

Solving
-2 + 11x = 42

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 11x = 42 + 2

Combine like terms: -2 + 2 = 0
0 + 11x = 42 + 2
11x = 42 + 2

Combine like terms: 42 + 2 = 44
11x = 44

Divide each side by '11'.
x = 4

Simplifying
x = 4

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