2(x-5)+3(x-1)=42

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Solution for 2(x-5)+3(x-1)=42 equation:


Simplifying
2(x + -5) + 3(x + -1) = 42

Reorder the terms:
2(-5 + x) + 3(x + -1) = 42
(-5 * 2 + x * 2) + 3(x + -1) = 42
(-10 + 2x) + 3(x + -1) = 42

Reorder the terms:
-10 + 2x + 3(-1 + x) = 42
-10 + 2x + (-1 * 3 + x * 3) = 42
-10 + 2x + (-3 + 3x) = 42

Reorder the terms:
-10 + -3 + 2x + 3x = 42

Combine like terms: -10 + -3 = -13
-13 + 2x + 3x = 42

Combine like terms: 2x + 3x = 5x
-13 + 5x = 42

Solving
-13 + 5x = 42

Solving for variable 'x'.

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

Add '13' to each side of the equation.
-13 + 13 + 5x = 42 + 13

Combine like terms: -13 + 13 = 0
0 + 5x = 42 + 13
5x = 42 + 13

Combine like terms: 42 + 13 = 55
5x = 55

Divide each side by '5'.
x = 11

Simplifying
x = 11

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