7x+2x-8=5-2(x+3)

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Solution for 7x+2x-8=5-2(x+3) equation:


Simplifying
7x + 2x + -8 = 5 + -2(x + 3)

Reorder the terms:
-8 + 7x + 2x = 5 + -2(x + 3)

Combine like terms: 7x + 2x = 9x
-8 + 9x = 5 + -2(x + 3)

Reorder the terms:
-8 + 9x = 5 + -2(3 + x)
-8 + 9x = 5 + (3 * -2 + x * -2)
-8 + 9x = 5 + (-6 + -2x)

Combine like terms: 5 + -6 = -1
-8 + 9x = -1 + -2x

Solving
-8 + 9x = -1 + -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.
-8 + 9x + 2x = -1 + -2x + 2x

Combine like terms: 9x + 2x = 11x
-8 + 11x = -1 + -2x + 2x

Combine like terms: -2x + 2x = 0
-8 + 11x = -1 + 0
-8 + 11x = -1

Add '8' to each side of the equation.
-8 + 8 + 11x = -1 + 8

Combine like terms: -8 + 8 = 0
0 + 11x = -1 + 8
11x = -1 + 8

Combine like terms: -1 + 8 = 7
11x = 7

Divide each side by '11'.
x = 0.6363636364

Simplifying
x = 0.6363636364

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