10-5(x-3)=9x+40+x

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Solution for 10-5(x-3)=9x+40+x equation:


Simplifying
10 + -5(x + -3) = 9x + 40 + x

Reorder the terms:
10 + -5(-3 + x) = 9x + 40 + x
10 + (-3 * -5 + x * -5) = 9x + 40 + x
10 + (15 + -5x) = 9x + 40 + x

Combine like terms: 10 + 15 = 25
25 + -5x = 9x + 40 + x

Reorder the terms:
25 + -5x = 40 + 9x + x

Combine like terms: 9x + x = 10x
25 + -5x = 40 + 10x

Solving
25 + -5x = 40 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
25 + -5x + -10x = 40 + 10x + -10x

Combine like terms: -5x + -10x = -15x
25 + -15x = 40 + 10x + -10x

Combine like terms: 10x + -10x = 0
25 + -15x = 40 + 0
25 + -15x = 40

Add '-25' to each side of the equation.
25 + -25 + -15x = 40 + -25

Combine like terms: 25 + -25 = 0
0 + -15x = 40 + -25
-15x = 40 + -25

Combine like terms: 40 + -25 = 15
-15x = 15

Divide each side by '-15'.
x = -1

Simplifying
x = -1

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