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

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


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

Reorder the terms:
2(8 + -1x) + 3 = x + 1 + -4(x + 2)
(8 * 2 + -1x * 2) + 3 = x + 1 + -4(x + 2)
(16 + -2x) + 3 = x + 1 + -4(x + 2)

Reorder the terms:
16 + 3 + -2x = x + 1 + -4(x + 2)

Combine like terms: 16 + 3 = 19
19 + -2x = x + 1 + -4(x + 2)

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

Reorder the terms:
19 + -2x = 1 + -8 + x + -4x

Combine like terms: 1 + -8 = -7
19 + -2x = -7 + x + -4x

Combine like terms: x + -4x = -3x
19 + -2x = -7 + -3x

Solving
19 + -2x = -7 + -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.
19 + -2x + 3x = -7 + -3x + 3x

Combine like terms: -2x + 3x = 1x
19 + 1x = -7 + -3x + 3x

Combine like terms: -3x + 3x = 0
19 + 1x = -7 + 0
19 + 1x = -7

Add '-19' to each side of the equation.
19 + -19 + 1x = -7 + -19

Combine like terms: 19 + -19 = 0
0 + 1x = -7 + -19
1x = -7 + -19

Combine like terms: -7 + -19 = -26
1x = -26

Divide each side by '1'.
x = -26

Simplifying
x = -26

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