10-3(3x+2)=9-2(4+3x)

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Solution for 10-3(3x+2)=9-2(4+3x) equation:


Simplifying
10 + -3(3x + 2) = 9 + -2(4 + 3x)

Reorder the terms:
10 + -3(2 + 3x) = 9 + -2(4 + 3x)
10 + (2 * -3 + 3x * -3) = 9 + -2(4 + 3x)
10 + (-6 + -9x) = 9 + -2(4 + 3x)

Combine like terms: 10 + -6 = 4
4 + -9x = 9 + -2(4 + 3x)
4 + -9x = 9 + (4 * -2 + 3x * -2)
4 + -9x = 9 + (-8 + -6x)

Combine like terms: 9 + -8 = 1
4 + -9x = 1 + -6x

Solving
4 + -9x = 1 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
4 + -9x + 6x = 1 + -6x + 6x

Combine like terms: -9x + 6x = -3x
4 + -3x = 1 + -6x + 6x

Combine like terms: -6x + 6x = 0
4 + -3x = 1 + 0
4 + -3x = 1

Add '-4' to each side of the equation.
4 + -4 + -3x = 1 + -4

Combine like terms: 4 + -4 = 0
0 + -3x = 1 + -4
-3x = 1 + -4

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

Divide each side by '-3'.
x = 1

Simplifying
x = 1

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