1-3(2x-3)=-3x+4(2-5x)

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Solution for 1-3(2x-3)=-3x+4(2-5x) equation:


Simplifying
1 + -3(2x + -3) = -3x + 4(2 + -5x)

Reorder the terms:
1 + -3(-3 + 2x) = -3x + 4(2 + -5x)
1 + (-3 * -3 + 2x * -3) = -3x + 4(2 + -5x)
1 + (9 + -6x) = -3x + 4(2 + -5x)

Combine like terms: 1 + 9 = 10
10 + -6x = -3x + 4(2 + -5x)
10 + -6x = -3x + (2 * 4 + -5x * 4)
10 + -6x = -3x + (8 + -20x)

Reorder the terms:
10 + -6x = 8 + -3x + -20x

Combine like terms: -3x + -20x = -23x
10 + -6x = 8 + -23x

Solving
10 + -6x = 8 + -23x

Solving for variable 'x'.

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

Add '23x' to each side of the equation.
10 + -6x + 23x = 8 + -23x + 23x

Combine like terms: -6x + 23x = 17x
10 + 17x = 8 + -23x + 23x

Combine like terms: -23x + 23x = 0
10 + 17x = 8 + 0
10 + 17x = 8

Add '-10' to each side of the equation.
10 + -10 + 17x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + 17x = 8 + -10
17x = 8 + -10

Combine like terms: 8 + -10 = -2
17x = -2

Divide each side by '17'.
x = -0.1176470588

Simplifying
x = -0.1176470588

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