4-(2-5x)=6-3(1-3x)

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Solution for 4-(2-5x)=6-3(1-3x) equation:


Simplifying
4 + -1(2 + -5x) = 6 + -3(1 + -3x)
4 + (2 * -1 + -5x * -1) = 6 + -3(1 + -3x)
4 + (-2 + 5x) = 6 + -3(1 + -3x)

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

Combine like terms: 6 + -3 = 3
2 + 5x = 3 + 9x

Solving
2 + 5x = 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.
2 + 5x + -9x = 3 + 9x + -9x

Combine like terms: 5x + -9x = -4x
2 + -4x = 3 + 9x + -9x

Combine like terms: 9x + -9x = 0
2 + -4x = 3 + 0
2 + -4x = 3

Add '-2' to each side of the equation.
2 + -2 + -4x = 3 + -2

Combine like terms: 2 + -2 = 0
0 + -4x = 3 + -2
-4x = 3 + -2

Combine like terms: 3 + -2 = 1
-4x = 1

Divide each side by '-4'.
x = -0.25

Simplifying
x = -0.25

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