7x-3=-2x+42

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


Simplifying
7x + -3 = -2x + 42

Reorder the terms:
-3 + 7x = -2x + 42

Reorder the terms:
-3 + 7x = 42 + -2x

Solving
-3 + 7x = 42 + -2x

Solving for variable 'x'.

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

Add '2x' to each side of the equation.
-3 + 7x + 2x = 42 + -2x + 2x

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

Combine like terms: -2x + 2x = 0
-3 + 9x = 42 + 0
-3 + 9x = 42

Add '3' to each side of the equation.
-3 + 3 + 9x = 42 + 3

Combine like terms: -3 + 3 = 0
0 + 9x = 42 + 3
9x = 42 + 3

Combine like terms: 42 + 3 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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