1-5(x-3)=10-(3x+6)

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Solution for 1-5(x-3)=10-(3x+6) equation: 


Simplifying
1 + -5(x + -3) = 10 + -1(3x + 6)

Reorder the terms:
1 + -5(-3 + x) = 10 + -1(3x + 6)
1 + (-3 * -5 + x * -5) = 10 + -1(3x + 6)
1 + (15 + -5x) = 10 + -1(3x + 6)

Combine like terms: 1 + 15 = 16
16 + -5x = 10 + -1(3x + 6)

Reorder the terms:
16 + -5x = 10 + -1(6 + 3x)
16 + -5x = 10 + (6 * -1 + 3x * -1)
16 + -5x = 10 + (-6 + -3x)

Combine like terms: 10 + -6 = 4
16 + -5x = 4 + -3x

Solving
16 + -5x = 4 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
16 + -5x + 3x = 4 + -3x + 3x

Combine like terms: -5x + 3x = -2x
16 + -2x = 4 + -3x + 3x

Combine like terms: -3x + 3x = 0
16 + -2x = 4 + 0
16 + -2x = 4

Add '-16' to each side of the equation.
16 + -16 + -2x = 4 + -16

Combine like terms: 16 + -16 = 0
0 + -2x = 4 + -16
-2x = 4 + -16

Combine like terms: 4 + -16 = -12
-2x = -12

Divide each side by '-2'.
x = 6

Simplifying
x = 6

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