3(7x+2)-10=-1(-9x+3)

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Solution for 3(7x+2)-10=-1(-9x+3) equation:


Simplifying
3(7x + 2) + -10 = -1(-9x + 3)

Reorder the terms:
3(2 + 7x) + -10 = -1(-9x + 3)
(2 * 3 + 7x * 3) + -10 = -1(-9x + 3)
(6 + 21x) + -10 = -1(-9x + 3)

Reorder the terms:
6 + -10 + 21x = -1(-9x + 3)

Combine like terms: 6 + -10 = -4
-4 + 21x = -1(-9x + 3)

Reorder the terms:
-4 + 21x = -1(3 + -9x)
-4 + 21x = (3 * -1 + -9x * -1)
-4 + 21x = (-3 + 9x)

Solving
-4 + 21x = -3 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
-4 + 21x + -9x = -3 + 9x + -9x

Combine like terms: 21x + -9x = 12x
-4 + 12x = -3 + 9x + -9x

Combine like terms: 9x + -9x = 0
-4 + 12x = -3 + 0
-4 + 12x = -3

Add '4' to each side of the equation.
-4 + 4 + 12x = -3 + 4

Combine like terms: -4 + 4 = 0
0 + 12x = -3 + 4
12x = -3 + 4

Combine like terms: -3 + 4 = 1
12x = 1

Divide each side by '12'.
x = 0.08333333333

Simplifying
x = 0.08333333333

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