-51=7x-4(x+9)

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Solution for -51=7x-4(x+9) equation:


Simplifying
-51 = 7x + -4(x + 9)

Reorder the terms:
-51 = 7x + -4(9 + x)
-51 = 7x + (9 * -4 + x * -4)
-51 = 7x + (-36 + -4x)

Reorder the terms:
-51 = -36 + 7x + -4x

Combine like terms: 7x + -4x = 3x
-51 = -36 + 3x

Solving
-51 = -36 + 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.
-51 + -3x = -36 + 3x + -3x

Combine like terms: 3x + -3x = 0
-51 + -3x = -36 + 0
-51 + -3x = -36

Add '51' to each side of the equation.
-51 + 51 + -3x = -36 + 51

Combine like terms: -51 + 51 = 0
0 + -3x = -36 + 51
-3x = -36 + 51

Combine like terms: -36 + 51 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

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