2x-7(-x+2)=40

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Solution for 2x-7(-x+2)=40 equation:


Simplifying
2x + -7(-1x + 2) = 40

Reorder the terms:
2x + -7(2 + -1x) = 40
2x + (2 * -7 + -1x * -7) = 40
2x + (-14 + 7x) = 40

Reorder the terms:
-14 + 2x + 7x = 40

Combine like terms: 2x + 7x = 9x
-14 + 9x = 40

Solving
-14 + 9x = 40

Solving for variable 'x'.

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

Add '14' to each side of the equation.
-14 + 14 + 9x = 40 + 14

Combine like terms: -14 + 14 = 0
0 + 9x = 40 + 14
9x = 40 + 14

Combine like terms: 40 + 14 = 54
9x = 54

Divide each side by '9'.
x = 6

Simplifying
x = 6

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