9+2(5x-3)=-3(3x-2)+4x

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Solution for 9+2(5x-3)=-3(3x-2)+4x equation:


Simplifying
9 + 2(5x + -3) = -3(3x + -2) + 4x

Reorder the terms:
9 + 2(-3 + 5x) = -3(3x + -2) + 4x
9 + (-3 * 2 + 5x * 2) = -3(3x + -2) + 4x
9 + (-6 + 10x) = -3(3x + -2) + 4x

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

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

Combine like terms: -9x + 4x = -5x
3 + 10x = 6 + -5x

Solving
3 + 10x = 6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
3 + 10x + 5x = 6 + -5x + 5x

Combine like terms: 10x + 5x = 15x
3 + 15x = 6 + -5x + 5x

Combine like terms: -5x + 5x = 0
3 + 15x = 6 + 0
3 + 15x = 6

Add '-3' to each side of the equation.
3 + -3 + 15x = 6 + -3

Combine like terms: 3 + -3 = 0
0 + 15x = 6 + -3
15x = 6 + -3

Combine like terms: 6 + -3 = 3
15x = 3

Divide each side by '15'.
x = 0.2

Simplifying
x = 0.2

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