4(1-2x)+13=2-3(x-10)

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Solution for 4(1-2x)+13=2-3(x-10) equation: 


Simplifying
4(1 + -2x) + 13 = 2 + -3(x + -10)
(1 * 4 + -2x * 4) + 13 = 2 + -3(x + -10)
(4 + -8x) + 13 = 2 + -3(x + -10)

Reorder the terms:
4 + 13 + -8x = 2 + -3(x + -10)

Combine like terms: 4 + 13 = 17
17 + -8x = 2 + -3(x + -10)

Reorder the terms:
17 + -8x = 2 + -3(-10 + x)
17 + -8x = 2 + (-10 * -3 + x * -3)
17 + -8x = 2 + (30 + -3x)

Combine like terms: 2 + 30 = 32
17 + -8x = 32 + -3x

Solving
17 + -8x = 32 + -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.
17 + -8x + 3x = 32 + -3x + 3x

Combine like terms: -8x + 3x = -5x
17 + -5x = 32 + -3x + 3x

Combine like terms: -3x + 3x = 0
17 + -5x = 32 + 0
17 + -5x = 32

Add '-17' to each side of the equation.
17 + -17 + -5x = 32 + -17

Combine like terms: 17 + -17 = 0
0 + -5x = 32 + -17
-5x = 32 + -17

Combine like terms: 32 + -17 = 15
-5x = 15

Divide each side by '-5'.
x = -3

Simplifying
x = -3

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