4(x+3)+7(x-2)=42

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Solution for 4(x+3)+7(x-2)=42 equation: 


Simplifying
4(x + 3) + 7(x + -2) = 42

Reorder the terms:
4(3 + x) + 7(x + -2) = 42
(3 * 4 + x * 4) + 7(x + -2) = 42
(12 + 4x) + 7(x + -2) = 42

Reorder the terms:
12 + 4x + 7(-2 + x) = 42
12 + 4x + (-2 * 7 + x * 7) = 42
12 + 4x + (-14 + 7x) = 42

Reorder the terms:
12 + -14 + 4x + 7x = 42

Combine like terms: 12 + -14 = -2
-2 + 4x + 7x = 42

Combine like terms: 4x + 7x = 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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