(3x+9)-(8x-4)=10

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Solution for (3x+9)-(8x-4)=10 equation:


Simplifying
(3x + 9) + -1(8x + -4) = 10

Reorder the terms:
(9 + 3x) + -1(8x + -4) = 10

Remove parenthesis around (9 + 3x)
9 + 3x + -1(8x + -4) = 10

Reorder the terms:
9 + 3x + -1(-4 + 8x) = 10
9 + 3x + (-4 * -1 + 8x * -1) = 10
9 + 3x + (4 + -8x) = 10

Reorder the terms:
9 + 4 + 3x + -8x = 10

Combine like terms: 9 + 4 = 13
13 + 3x + -8x = 10

Combine like terms: 3x + -8x = -5x
13 + -5x = 10

Solving
13 + -5x = 10

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + -5x = 10 + -13

Combine like terms: 13 + -13 = 0
0 + -5x = 10 + -13
-5x = 10 + -13

Combine like terms: 10 + -13 = -3
-5x = -3

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6

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