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

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


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

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

Combine like terms: 5x + -1x = 4x
7x + -3(-5 + 4x) = 1 + -4x
7x + (-5 * -3 + 4x * -3) = 1 + -4x
7x + (15 + -12x) = 1 + -4x

Reorder the terms:
15 + 7x + -12x = 1 + -4x

Combine like terms: 7x + -12x = -5x
15 + -5x = 1 + -4x

Solving
15 + -5x = 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.
15 + -5x + 4x = 1 + -4x + 4x

Combine like terms: -5x + 4x = -1x
15 + -1x = 1 + -4x + 4x

Combine like terms: -4x + 4x = 0
15 + -1x = 1 + 0
15 + -1x = 1

Add '-15' to each side of the equation.
15 + -15 + -1x = 1 + -15

Combine like terms: 15 + -15 = 0
0 + -1x = 1 + -15
-1x = 1 + -15

Combine like terms: 1 + -15 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14

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