8-3(x-4)=19+2(1-2x)

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Solution for 8-3(x-4)=19+2(1-2x) equation:


Simplifying
8 + -3(x + -4) = 19 + 2(1 + -2x)

Reorder the terms:
8 + -3(-4 + x) = 19 + 2(1 + -2x)
8 + (-4 * -3 + x * -3) = 19 + 2(1 + -2x)
8 + (12 + -3x) = 19 + 2(1 + -2x)

Combine like terms: 8 + 12 = 20
20 + -3x = 19 + 2(1 + -2x)
20 + -3x = 19 + (1 * 2 + -2x * 2)
20 + -3x = 19 + (2 + -4x)

Combine like terms: 19 + 2 = 21
20 + -3x = 21 + -4x

Solving
20 + -3x = 21 + -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.
20 + -3x + 4x = 21 + -4x + 4x

Combine like terms: -3x + 4x = 1x
20 + 1x = 21 + -4x + 4x

Combine like terms: -4x + 4x = 0
20 + 1x = 21 + 0
20 + 1x = 21

Add '-20' to each side of the equation.
20 + -20 + 1x = 21 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = 21 + -20
1x = 21 + -20

Combine like terms: 21 + -20 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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