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

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Solution for 10(-x+3)+9x+4=x-5+3 equation:


Simplifying
10(-1x + 3) + 9x + 4 = x + -5 + 3

Reorder the terms:
10(3 + -1x) + 9x + 4 = x + -5 + 3
(3 * 10 + -1x * 10) + 9x + 4 = x + -5 + 3
(30 + -10x) + 9x + 4 = x + -5 + 3

Reorder the terms:
30 + 4 + -10x + 9x = x + -5 + 3

Combine like terms: 30 + 4 = 34
34 + -10x + 9x = x + -5 + 3

Combine like terms: -10x + 9x = -1x
34 + -1x = x + -5 + 3

Reorder the terms:
34 + -1x = -5 + 3 + x

Combine like terms: -5 + 3 = -2
34 + -1x = -2 + x

Solving
34 + -1x = -2 + x

Solving for variable 'x'.

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

Add '-1x' to each side of the equation.
34 + -1x + -1x = -2 + x + -1x

Combine like terms: -1x + -1x = -2x
34 + -2x = -2 + x + -1x

Combine like terms: x + -1x = 0
34 + -2x = -2 + 0
34 + -2x = -2

Add '-34' to each side of the equation.
34 + -34 + -2x = -2 + -34

Combine like terms: 34 + -34 = 0
0 + -2x = -2 + -34
-2x = -2 + -34

Combine like terms: -2 + -34 = -36
-2x = -36

Divide each side by '-2'.
x = 18

Simplifying
x = 18

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