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

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


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

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

Reorder the terms:
15 + 2x + -5x = -4 + 2x + -6

Combine like terms: 2x + -5x = -3x
15 + -3x = -4 + 2x + -6

Reorder the terms:
15 + -3x = -4 + -6 + 2x

Combine like terms: -4 + -6 = -10
15 + -3x = -10 + 2x

Solving
15 + -3x = -10 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
15 + -3x + -2x = -10 + 2x + -2x

Combine like terms: -3x + -2x = -5x
15 + -5x = -10 + 2x + -2x

Combine like terms: 2x + -2x = 0
15 + -5x = -10 + 0
15 + -5x = -10

Add '-15' to each side of the equation.
15 + -15 + -5x = -10 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -10 + -15
-5x = -10 + -15

Combine like terms: -10 + -15 = -25
-5x = -25

Divide each side by '-5'.
x = 5

Simplifying
x = 5

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