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

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


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

Reorder the terms:
2 + -3(-5 + x) = 2x + 4 + -6x
2 + (-5 * -3 + x * -3) = 2x + 4 + -6x
2 + (15 + -3x) = 2x + 4 + -6x

Combine like terms: 2 + 15 = 17
17 + -3x = 2x + 4 + -6x

Reorder the terms:
17 + -3x = 4 + 2x + -6x

Combine like terms: 2x + -6x = -4x
17 + -3x = 4 + -4x

Solving
17 + -3x = 4 + -4x

Solving for variable 'x'.

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

Add '4x' to each side of the equation.
17 + -3x + 4x = 4 + -4x + 4x

Combine like terms: -3x + 4x = 1x
17 + 1x = 4 + -4x + 4x

Combine like terms: -4x + 4x = 0
17 + 1x = 4 + 0
17 + 1x = 4

Add '-17' to each side of the equation.
17 + -17 + 1x = 4 + -17

Combine like terms: 17 + -17 = 0
0 + 1x = 4 + -17
1x = 4 + -17

Combine like terms: 4 + -17 = -13
1x = -13

Divide each side by '1'.
x = -13

Simplifying
x = -13

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