4(4-9)+2x=6(x+2)-48

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Solution for 4(4-9)+2x=6(x+2)-48 equation:


Simplifying
4(4 + -9) + 2x = 6(x + 2) + -48

Combine like terms: 4 + -9 = -5
4(-5) + 2x = 6(x + 2) + -48

Multiply 4 * -5
-20 + 2x = 6(x + 2) + -48

Reorder the terms:
-20 + 2x = 6(2 + x) + -48
-20 + 2x = (2 * 6 + x * 6) + -48
-20 + 2x = (12 + 6x) + -48

Reorder the terms:
-20 + 2x = 12 + -48 + 6x

Combine like terms: 12 + -48 = -36
-20 + 2x = -36 + 6x

Solving
-20 + 2x = -36 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-20 + 2x + -6x = -36 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-20 + -4x = -36 + 6x + -6x

Combine like terms: 6x + -6x = 0
-20 + -4x = -36 + 0
-20 + -4x = -36

Add '20' to each side of the equation.
-20 + 20 + -4x = -36 + 20

Combine like terms: -20 + 20 = 0
0 + -4x = -36 + 20
-4x = -36 + 20

Combine like terms: -36 + 20 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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