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

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


Simplifying
2 + -6(3 + -1x) + -4x = -5(2 + -3x)
2 + (3 * -6 + -1x * -6) + -4x = -5(2 + -3x)
2 + (-18 + 6x) + -4x = -5(2 + -3x)

Combine like terms: 2 + -18 = -16
-16 + 6x + -4x = -5(2 + -3x)

Combine like terms: 6x + -4x = 2x
-16 + 2x = -5(2 + -3x)
-16 + 2x = (2 * -5 + -3x * -5)
-16 + 2x = (-10 + 15x)

Solving
-16 + 2x = -10 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-16 + 2x + -15x = -10 + 15x + -15x

Combine like terms: 2x + -15x = -13x
-16 + -13x = -10 + 15x + -15x

Combine like terms: 15x + -15x = 0
-16 + -13x = -10 + 0
-16 + -13x = -10

Add '16' to each side of the equation.
-16 + 16 + -13x = -10 + 16

Combine like terms: -16 + 16 = 0
0 + -13x = -10 + 16
-13x = -10 + 16

Combine like terms: -10 + 16 = 6
-13x = 6

Divide each side by '-13'.
x = -0.4615384615

Simplifying
x = -0.4615384615

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