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

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


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

Reorder the terms:
9x + 3(-4 + x) = 10(x + -5) + 5
9x + (-4 * 3 + x * 3) = 10(x + -5) + 5
9x + (-12 + 3x) = 10(x + -5) + 5

Reorder the terms:
-12 + 9x + 3x = 10(x + -5) + 5

Combine like terms: 9x + 3x = 12x
-12 + 12x = 10(x + -5) + 5

Reorder the terms:
-12 + 12x = 10(-5 + x) + 5
-12 + 12x = (-5 * 10 + x * 10) + 5
-12 + 12x = (-50 + 10x) + 5

Reorder the terms:
-12 + 12x = -50 + 5 + 10x

Combine like terms: -50 + 5 = -45
-12 + 12x = -45 + 10x

Solving
-12 + 12x = -45 + 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.
-12 + 12x + -10x = -45 + 10x + -10x

Combine like terms: 12x + -10x = 2x
-12 + 2x = -45 + 10x + -10x

Combine like terms: 10x + -10x = 0
-12 + 2x = -45 + 0
-12 + 2x = -45

Add '12' to each side of the equation.
-12 + 12 + 2x = -45 + 12

Combine like terms: -12 + 12 = 0
0 + 2x = -45 + 12
2x = -45 + 12

Combine like terms: -45 + 12 = -33
2x = -33

Divide each side by '2'.
x = -16.5

Simplifying
x = -16.5

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