40=2x+7(x-2)

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


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

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

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

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

Solving
40 = -14 + 9x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-9'.
x = 6

Simplifying
x = 6

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