3x+4(x-5)=9x-18

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Solution for 3x+4(x-5)=9x-18 equation:


Simplifying
3x + 4(x + -5) = 9x + -18

Reorder the terms:
3x + 4(-5 + x) = 9x + -18
3x + (-5 * 4 + x * 4) = 9x + -18
3x + (-20 + 4x) = 9x + -18

Reorder the terms:
-20 + 3x + 4x = 9x + -18

Combine like terms: 3x + 4x = 7x
-20 + 7x = 9x + -18

Reorder the terms:
-20 + 7x = -18 + 9x

Solving
-20 + 7x = -18 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-20 + 7x + -9x = -18 + 9x + -9x

Combine like terms: 7x + -9x = -2x
-20 + -2x = -18 + 9x + -9x

Combine like terms: 9x + -9x = 0
-20 + -2x = -18 + 0
-20 + -2x = -18

Add '20' to each side of the equation.
-20 + 20 + -2x = -18 + 20

Combine like terms: -20 + 20 = 0
0 + -2x = -18 + 20
-2x = -18 + 20

Combine like terms: -18 + 20 = 2
-2x = 2

Divide each side by '-2'.
x = -1

Simplifying
x = -1

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