5x-10=40+9(x+11)

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Solution for 5x-10=40+9(x+11) equation:


Simplifying
5x + -10 = 40 + 9(x + 11)

Reorder the terms:
-10 + 5x = 40 + 9(x + 11)

Reorder the terms:
-10 + 5x = 40 + 9(11 + x)
-10 + 5x = 40 + (11 * 9 + x * 9)
-10 + 5x = 40 + (99 + 9x)

Combine like terms: 40 + 99 = 139
-10 + 5x = 139 + 9x

Solving
-10 + 5x = 139 + 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.
-10 + 5x + -9x = 139 + 9x + -9x

Combine like terms: 5x + -9x = -4x
-10 + -4x = 139 + 9x + -9x

Combine like terms: 9x + -9x = 0
-10 + -4x = 139 + 0
-10 + -4x = 139

Add '10' to each side of the equation.
-10 + 10 + -4x = 139 + 10

Combine like terms: -10 + 10 = 0
0 + -4x = 139 + 10
-4x = 139 + 10

Combine like terms: 139 + 10 = 149
-4x = 149

Divide each side by '-4'.
x = -37.25

Simplifying
x = -37.25

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