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

Reorder the terms:
10(3 + x) + 9x + 4 = x + -5 + 3
(3 * 10 + x * 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 = 19x
34 + 19x = x + -5 + 3

Reorder the terms:
34 + 19x = -5 + 3 + x

Combine like terms: -5 + 3 = -2
34 + 19x = -2 + x

Solving
34 + 19x = -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 + 19x + -1x = -2 + x + -1x

Combine like terms: 19x + -1x = 18x
34 + 18x = -2 + x + -1x

Combine like terms: x + -1x = 0
34 + 18x = -2 + 0
34 + 18x = -2

Add '-34' to each side of the equation.
34 + -34 + 18x = -2 + -34

Combine like terms: 34 + -34 = 0
0 + 18x = -2 + -34
18x = -2 + -34

Combine like terms: -2 + -34 = -36
18x = -36

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

Simplifying
x = -2

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