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

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


Simplifying
10 + -2(5 + 3x) = 7 + -9(x + 3) + 2x
10 + (5 * -2 + 3x * -2) = 7 + -9(x + 3) + 2x
10 + (-10 + -6x) = 7 + -9(x + 3) + 2x

Combine like terms: 10 + -10 = 0
0 + -6x = 7 + -9(x + 3) + 2x
-6x = 7 + -9(x + 3) + 2x

Reorder the terms:
-6x = 7 + -9(3 + x) + 2x
-6x = 7 + (3 * -9 + x * -9) + 2x
-6x = 7 + (-27 + -9x) + 2x

Combine like terms: 7 + -27 = -20
-6x = -20 + -9x + 2x

Combine like terms: -9x + 2x = -7x
-6x = -20 + -7x

Solving
-6x = -20 + -7x

Solving for variable 'x'.

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

Add '7x' to each side of the equation.
-6x + 7x = -20 + -7x + 7x

Combine like terms: -6x + 7x = 1x
1x = -20 + -7x + 7x

Combine like terms: -7x + 7x = 0
1x = -20 + 0
1x = -20

Divide each side by '1'.
x = -20

Simplifying
x = -20

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