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

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


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

Reorder the terms:
7(4 + x) + -1(3x + -1) = 4
(4 * 7 + x * 7) + -1(3x + -1) = 4
(28 + 7x) + -1(3x + -1) = 4

Reorder the terms:
28 + 7x + -1(-1 + 3x) = 4
28 + 7x + (-1 * -1 + 3x * -1) = 4
28 + 7x + (1 + -3x) = 4

Reorder the terms:
28 + 1 + 7x + -3x = 4

Combine like terms: 28 + 1 = 29
29 + 7x + -3x = 4

Combine like terms: 7x + -3x = 4x
29 + 4x = 4

Solving
29 + 4x = 4

Solving for variable 'x'.

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

Add '-29' to each side of the equation.
29 + -29 + 4x = 4 + -29

Combine like terms: 29 + -29 = 0
0 + 4x = 4 + -29
4x = 4 + -29

Combine like terms: 4 + -29 = -25
4x = -25

Divide each side by '4'.
x = -6.25

Simplifying
x = -6.25

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