10(x+3)-(-9x-4)=2-5+3

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Solution for 10(x+3)-(-9x-4)=2-5+3 equation:


Simplifying
10(x + 3) + -1(-9x + -4) = 2 + -5 + 3

Reorder the terms:
10(3 + x) + -1(-9x + -4) = 2 + -5 + 3
(3 * 10 + x * 10) + -1(-9x + -4) = 2 + -5 + 3
(30 + 10x) + -1(-9x + -4) = 2 + -5 + 3

Reorder the terms:
30 + 10x + -1(-4 + -9x) = 2 + -5 + 3
30 + 10x + (-4 * -1 + -9x * -1) = 2 + -5 + 3
30 + 10x + (4 + 9x) = 2 + -5 + 3

Reorder the terms:
30 + 4 + 10x + 9x = 2 + -5 + 3

Combine like terms: 30 + 4 = 34
34 + 10x + 9x = 2 + -5 + 3

Combine like terms: 10x + 9x = 19x
34 + 19x = 2 + -5 + 3

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

Combine like terms: -3 + 3 = 0
34 + 19x = 0

Solving
34 + 19x = 0

Solving for variable 'x'.

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

Add '-34' to each side of the equation.
34 + -34 + 19x = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 19x = 0 + -34
19x = 0 + -34

Combine like terms: 0 + -34 = -34
19x = -34

Divide each side by '19'.
x = -1.789473684

Simplifying
x = -1.789473684

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