5x+40=8x+7-14x

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Solution for 5x+40=8x+7-14x equation:


Simplifying
5x + 40 = 8x + 7 + -14x

Reorder the terms:
40 + 5x = 8x + 7 + -14x

Reorder the terms:
40 + 5x = 7 + 8x + -14x

Combine like terms: 8x + -14x = -6x
40 + 5x = 7 + -6x

Solving
40 + 5x = 7 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
40 + 5x + 6x = 7 + -6x + 6x

Combine like terms: 5x + 6x = 11x
40 + 11x = 7 + -6x + 6x

Combine like terms: -6x + 6x = 0
40 + 11x = 7 + 0
40 + 11x = 7

Add '-40' to each side of the equation.
40 + -40 + 11x = 7 + -40

Combine like terms: 40 + -40 = 0
0 + 11x = 7 + -40
11x = 7 + -40

Combine like terms: 7 + -40 = -33
11x = -33

Divide each side by '11'.
x = -3

Simplifying
x = -3

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