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

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


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

Reorder the terms:
7(5 + x) + -3x = x + -7
(5 * 7 + x * 7) + -3x = x + -7
(35 + 7x) + -3x = x + -7

Combine like terms: 7x + -3x = 4x
35 + 4x = x + -7

Reorder the terms:
35 + 4x = -7 + x

Solving
35 + 4x = -7 + 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.
35 + 4x + -1x = -7 + x + -1x

Combine like terms: 4x + -1x = 3x
35 + 3x = -7 + x + -1x

Combine like terms: x + -1x = 0
35 + 3x = -7 + 0
35 + 3x = -7

Add '-35' to each side of the equation.
35 + -35 + 3x = -7 + -35

Combine like terms: 35 + -35 = 0
0 + 3x = -7 + -35
3x = -7 + -35

Combine like terms: -7 + -35 = -42
3x = -42

Divide each side by '3'.
x = -14

Simplifying
x = -14

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