7x=5(x+5)+4x-x-2

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Solution for 7x=5(x+5)+4x-x-2 equation:


Simplifying
7x = 5(x + 5) + 4x + -1x + -2

Reorder the terms:
7x = 5(5 + x) + 4x + -1x + -2
7x = (5 * 5 + x * 5) + 4x + -1x + -2
7x = (25 + 5x) + 4x + -1x + -2

Reorder the terms:
7x = 25 + -2 + 5x + 4x + -1x

Combine like terms: 25 + -2 = 23
7x = 23 + 5x + 4x + -1x

Combine like terms: 5x + 4x = 9x
7x = 23 + 9x + -1x

Combine like terms: 9x + -1x = 8x
7x = 23 + 8x

Solving
7x = 23 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
7x + -8x = 23 + 8x + -8x

Combine like terms: 7x + -8x = -1x
-1x = 23 + 8x + -8x

Combine like terms: 8x + -8x = 0
-1x = 23 + 0
-1x = 23

Divide each side by '-1'.
x = -23

Simplifying
x = -23

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