3x+4(x-5)+x=3x+4-9

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Solution for 3x+4(x-5)+x=3x+4-9 equation:


Simplifying
3x + 4(x + -5) + x = 3x + 4 + -9

Reorder the terms:
3x + 4(-5 + x) + x = 3x + 4 + -9
3x + (-5 * 4 + x * 4) + x = 3x + 4 + -9
3x + (-20 + 4x) + x = 3x + 4 + -9

Reorder the terms:
-20 + 3x + 4x + x = 3x + 4 + -9

Combine like terms: 3x + 4x = 7x
-20 + 7x + x = 3x + 4 + -9

Combine like terms: 7x + x = 8x
-20 + 8x = 3x + 4 + -9

Reorder the terms:
-20 + 8x = 4 + -9 + 3x

Combine like terms: 4 + -9 = -5
-20 + 8x = -5 + 3x

Solving
-20 + 8x = -5 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-20 + 8x + -3x = -5 + 3x + -3x

Combine like terms: 8x + -3x = 5x
-20 + 5x = -5 + 3x + -3x

Combine like terms: 3x + -3x = 0
-20 + 5x = -5 + 0
-20 + 5x = -5

Add '20' to each side of the equation.
-20 + 20 + 5x = -5 + 20

Combine like terms: -20 + 20 = 0
0 + 5x = -5 + 20
5x = -5 + 20

Combine like terms: -5 + 20 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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