9(x-5)+10(x+3)=7th-2+12x

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Solution for 9(x-5)+10(x+3)=7th-2+12x equation:


Simplifying
9(x + -5) + 10(x + 3) = 7th + -2 + 12x

Reorder the terms:
9(-5 + x) + 10(x + 3) = 7th + -2 + 12x
(-5 * 9 + x * 9) + 10(x + 3) = 7th + -2 + 12x
(-45 + 9x) + 10(x + 3) = 7th + -2 + 12x

Reorder the terms:
-45 + 9x + 10(3 + x) = 7th + -2 + 12x
-45 + 9x + (3 * 10 + x * 10) = 7th + -2 + 12x
-45 + 9x + (30 + 10x) = 7th + -2 + 12x

Reorder the terms:
-45 + 30 + 9x + 10x = 7th + -2 + 12x

Combine like terms: -45 + 30 = -15
-15 + 9x + 10x = 7th + -2 + 12x

Combine like terms: 9x + 10x = 19x
-15 + 19x = 7th + -2 + 12x

Reorder the terms:
-15 + 19x = -2 + 7ht + 12x

Solving
-15 + 19x = -2 + 7ht + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-15 + 19x + -12x = -2 + 7ht + 12x + -12x

Combine like terms: 19x + -12x = 7x
-15 + 7x = -2 + 7ht + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + 7x = -2 + 7ht + 0
-15 + 7x = -2 + 7ht

Add '15' to each side of the equation.
-15 + 15 + 7x = -2 + 15 + 7ht

Combine like terms: -15 + 15 = 0
0 + 7x = -2 + 15 + 7ht
7x = -2 + 15 + 7ht

Combine like terms: -2 + 15 = 13
7x = 13 + 7ht

Divide each side by '7'.
x = 1.857142857 + ht

Simplifying
x = 1.857142857 + ht

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