7(x-1)=-2x+38

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Solution for 7(x-1)=-2x+38 equation:


Simplifying
7(x + -1) = -2x + 38

Reorder the terms:
7(-1 + x) = -2x + 38
(-1 * 7 + x * 7) = -2x + 38
(-7 + 7x) = -2x + 38

Reorder the terms:
-7 + 7x = 38 + -2x

Solving
-7 + 7x = 38 + -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.
-7 + 7x + 2x = 38 + -2x + 2x

Combine like terms: 7x + 2x = 9x
-7 + 9x = 38 + -2x + 2x

Combine like terms: -2x + 2x = 0
-7 + 9x = 38 + 0
-7 + 9x = 38

Add '7' to each side of the equation.
-7 + 7 + 9x = 38 + 7

Combine like terms: -7 + 7 = 0
0 + 9x = 38 + 7
9x = 38 + 7

Combine like terms: 38 + 7 = 45
9x = 45

Divide each side by '9'.
x = 5

Simplifying
x = 5

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