5x+1=3(1-2x)+4

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Solution for 5x+1=3(1-2x)+4 equation: 


Simplifying
5x + 1 = 3(1 + -2x) + 4

Reorder the terms:
1 + 5x = 3(1 + -2x) + 4
1 + 5x = (1 * 3 + -2x * 3) + 4
1 + 5x = (3 + -6x) + 4

Reorder the terms:
1 + 5x = 3 + 4 + -6x

Combine like terms: 3 + 4 = 7
1 + 5x = 7 + -6x

Solving
1 + 5x = 7 + -6x

Solving for variable 'x'.

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

Add '6x' to each side of the equation.
1 + 5x + 6x = 7 + -6x + 6x

Combine like terms: 5x + 6x = 11x
1 + 11x = 7 + -6x + 6x

Combine like terms: -6x + 6x = 0
1 + 11x = 7 + 0
1 + 11x = 7

Add '-1' to each side of the equation.
1 + -1 + 11x = 7 + -1

Combine like terms: 1 + -1 = 0
0 + 11x = 7 + -1
11x = 7 + -1

Combine like terms: 7 + -1 = 6
11x = 6

Divide each side by '11'.
x = 0.5454545455

Simplifying
x = 0.5454545455

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