4(x+2)+3(x+6)=42

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Solution for 4(x+2)+3(x+6)=42 equation:


Simplifying
4(x + 2) + 3(x + 6) = 42

Reorder the terms:
4(2 + x) + 3(x + 6) = 42
(2 * 4 + x * 4) + 3(x + 6) = 42
(8 + 4x) + 3(x + 6) = 42

Reorder the terms:
8 + 4x + 3(6 + x) = 42
8 + 4x + (6 * 3 + x * 3) = 42
8 + 4x + (18 + 3x) = 42

Reorder the terms:
8 + 18 + 4x + 3x = 42

Combine like terms: 8 + 18 = 26
26 + 4x + 3x = 42

Combine like terms: 4x + 3x = 7x
26 + 7x = 42

Solving
26 + 7x = 42

Solving for variable 'x'.

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

Add '-26' to each side of the equation.
26 + -26 + 7x = 42 + -26

Combine like terms: 26 + -26 = 0
0 + 7x = 42 + -26
7x = 42 + -26

Combine like terms: 42 + -26 = 16
7x = 16

Divide each side by '7'.
x = 2.285714286

Simplifying
x = 2.285714286

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