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

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


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

Reorder the terms:
4(-2 + x) + 3(x + 5) = 42
(-2 * 4 + x * 4) + 3(x + 5) = 42
(-8 + 4x) + 3(x + 5) = 42

Reorder the terms:
-8 + 4x + 3(5 + x) = 42
-8 + 4x + (5 * 3 + x * 3) = 42
-8 + 4x + (15 + 3x) = 42

Reorder the terms:
-8 + 15 + 4x + 3x = 42

Combine like terms: -8 + 15 = 7
7 + 4x + 3x = 42

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

Solving
7 + 7x = 42

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 + 7x = 42 + -7

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

Combine like terms: 42 + -7 = 35
7x = 35

Divide each side by '7'.
x = 5

Simplifying
x = 5

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