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

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


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

Reorder the terms:
1 + -4(-1 + 2x) = 3(x + 2) + 10
1 + (-1 * -4 + 2x * -4) = 3(x + 2) + 10
1 + (4 + -8x) = 3(x + 2) + 10

Combine like terms: 1 + 4 = 5
5 + -8x = 3(x + 2) + 10

Reorder the terms:
5 + -8x = 3(2 + x) + 10
5 + -8x = (2 * 3 + x * 3) + 10
5 + -8x = (6 + 3x) + 10

Reorder the terms:
5 + -8x = 6 + 10 + 3x

Combine like terms: 6 + 10 = 16
5 + -8x = 16 + 3x

Solving
5 + -8x = 16 + 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.
5 + -8x + -3x = 16 + 3x + -3x

Combine like terms: -8x + -3x = -11x
5 + -11x = 16 + 3x + -3x

Combine like terms: 3x + -3x = 0
5 + -11x = 16 + 0
5 + -11x = 16

Add '-5' to each side of the equation.
5 + -5 + -11x = 16 + -5

Combine like terms: 5 + -5 = 0
0 + -11x = 16 + -5
-11x = 16 + -5

Combine like terms: 16 + -5 = 11
-11x = 11

Divide each side by '-11'.
x = -1

Simplifying
x = -1

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