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

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

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

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

Combine like terms: -30 + 4 = -26
-26 + 10x + 9x = x + -5 + 3

Combine like terms: 10x + 9x = 19x
-26 + 19x = x + -5 + 3

Reorder the terms:
-26 + 19x = -5 + 3 + x

Combine like terms: -5 + 3 = -2
-26 + 19x = -2 + x

Solving
-26 + 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.
-26 + 19x + -1x = -2 + x + -1x

Combine like terms: 19x + -1x = 18x
-26 + 18x = -2 + x + -1x

Combine like terms: x + -1x = 0
-26 + 18x = -2 + 0
-26 + 18x = -2

Add '26' to each side of the equation.
-26 + 26 + 18x = -2 + 26

Combine like terms: -26 + 26 = 0
0 + 18x = -2 + 26
18x = -2 + 26

Combine like terms: -2 + 26 = 24
18x = 24

Divide each side by '18'.
x = 1.333333333

Simplifying
x = 1.333333333

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