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

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


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

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

Combine like terms: 7x + 3x = 10x
-4 + 10x = 5 + (3x + -1)

Reorder the terms:
-4 + 10x = 5 + (-1 + 3x)

Remove parenthesis around (-1 + 3x)
-4 + 10x = 5 + -1 + 3x

Combine like terms: 5 + -1 = 4
-4 + 10x = 4 + 3x

Solving
-4 + 10x = 4 + 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.
-4 + 10x + -3x = 4 + 3x + -3x

Combine like terms: 10x + -3x = 7x
-4 + 7x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-4 + 7x = 4 + 0
-4 + 7x = 4

Add '4' to each side of the equation.
-4 + 4 + 7x = 4 + 4

Combine like terms: -4 + 4 = 0
0 + 7x = 4 + 4
7x = 4 + 4

Combine like terms: 4 + 4 = 8
7x = 8

Divide each side by '7'.
x = 1.142857143

Simplifying
x = 1.142857143

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