6-4x-15x=2(3x-3)+2

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Solution for 6-4x-15x=2(3x-3)+2 equation:


Simplifying
6 + -4x + -15x = 2(3x + -3) + 2

Combine like terms: -4x + -15x = -19x
6 + -19x = 2(3x + -3) + 2

Reorder the terms:
6 + -19x = 2(-3 + 3x) + 2
6 + -19x = (-3 * 2 + 3x * 2) + 2
6 + -19x = (-6 + 6x) + 2

Reorder the terms:
6 + -19x = -6 + 2 + 6x

Combine like terms: -6 + 2 = -4
6 + -19x = -4 + 6x

Solving
6 + -19x = -4 + 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.
6 + -19x + -6x = -4 + 6x + -6x

Combine like terms: -19x + -6x = -25x
6 + -25x = -4 + 6x + -6x

Combine like terms: 6x + -6x = 0
6 + -25x = -4 + 0
6 + -25x = -4

Add '-6' to each side of the equation.
6 + -6 + -25x = -4 + -6

Combine like terms: 6 + -6 = 0
0 + -25x = -4 + -6
-25x = -4 + -6

Combine like terms: -4 + -6 = -10
-25x = -10

Divide each side by '-25'.
x = 0.4

Simplifying
x = 0.4

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