5-2(x-7)=x+1+3x

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Solution for 5-2(x-7)=x+1+3x equation:


Simplifying
5 + -2(x + -7) = x + 1 + 3x

Reorder the terms:
5 + -2(-7 + x) = x + 1 + 3x
5 + (-7 * -2 + x * -2) = x + 1 + 3x
5 + (14 + -2x) = x + 1 + 3x

Combine like terms: 5 + 14 = 19
19 + -2x = x + 1 + 3x

Reorder the terms:
19 + -2x = 1 + x + 3x

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

Solving
19 + -2x = 1 + 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.
19 + -2x + -4x = 1 + 4x + -4x

Combine like terms: -2x + -4x = -6x
19 + -6x = 1 + 4x + -4x

Combine like terms: 4x + -4x = 0
19 + -6x = 1 + 0
19 + -6x = 1

Add '-19' to each side of the equation.
19 + -19 + -6x = 1 + -19

Combine like terms: 19 + -19 = 0
0 + -6x = 1 + -19
-6x = 1 + -19

Combine like terms: 1 + -19 = -18
-6x = -18

Divide each side by '-6'.
x = 3

Simplifying
x = 3

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