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

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


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

Reorder the terms:
4(5 + x) + -2(x + -4) = 42
(5 * 4 + x * 4) + -2(x + -4) = 42
(20 + 4x) + -2(x + -4) = 42

Reorder the terms:
20 + 4x + -2(-4 + x) = 42
20 + 4x + (-4 * -2 + x * -2) = 42
20 + 4x + (8 + -2x) = 42

Reorder the terms:
20 + 8 + 4x + -2x = 42

Combine like terms: 20 + 8 = 28
28 + 4x + -2x = 42

Combine like terms: 4x + -2x = 2x
28 + 2x = 42

Solving
28 + 2x = 42

Solving for variable 'x'.

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

Add '-28' to each side of the equation.
28 + -28 + 2x = 42 + -28

Combine like terms: 28 + -28 = 0
0 + 2x = 42 + -28
2x = 42 + -28

Combine like terms: 42 + -28 = 14
2x = 14

Divide each side by '2'.
x = 7

Simplifying
x = 7

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