4(5x+1)+3(1-7x)=x

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Solution for 4(5x+1)+3(1-7x)=x equation:


Simplifying
4(5x + 1) + 3(1 + -7x) = x

Reorder the terms:
4(1 + 5x) + 3(1 + -7x) = x
(1 * 4 + 5x * 4) + 3(1 + -7x) = x
(4 + 20x) + 3(1 + -7x) = x
4 + 20x + (1 * 3 + -7x * 3) = x
4 + 20x + (3 + -21x) = x

Reorder the terms:
4 + 3 + 20x + -21x = x

Combine like terms: 4 + 3 = 7
7 + 20x + -21x = x

Combine like terms: 20x + -21x = -1x
7 + -1x = x

Solving
7 + -1x = x

Solving for variable 'x'.

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

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

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

Combine like terms: x + -1x = 0
7 + -2x = 0

Add '-7' to each side of the equation.
7 + -7 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5

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