3(x-3)+2(2x+1)=42

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Solution for 3(x-3)+2(2x+1)=42 equation: 


Simplifying
3(x + -3) + 2(2x + 1) = 42

Reorder the terms:
3(-3 + x) + 2(2x + 1) = 42
(-3 * 3 + x * 3) + 2(2x + 1) = 42
(-9 + 3x) + 2(2x + 1) = 42

Reorder the terms:
-9 + 3x + 2(1 + 2x) = 42
-9 + 3x + (1 * 2 + 2x * 2) = 42
-9 + 3x + (2 + 4x) = 42

Reorder the terms:
-9 + 2 + 3x + 4x = 42

Combine like terms: -9 + 2 = -7
-7 + 3x + 4x = 42

Combine like terms: 3x + 4x = 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 = 49
7x = 49

Divide each side by '7'.
x = 7

Simplifying
x = 7

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