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

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


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

Reorder the terms:
-3(-5 + x) + 7x = x + -3
(-5 * -3 + x * -3) + 7x = x + -3
(15 + -3x) + 7x = x + -3

Combine like terms: -3x + 7x = 4x
15 + 4x = x + -3

Reorder the terms:
15 + 4x = -3 + x

Solving
15 + 4x = -3 + 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.
15 + 4x + -1x = -3 + x + -1x

Combine like terms: 4x + -1x = 3x
15 + 3x = -3 + x + -1x

Combine like terms: x + -1x = 0
15 + 3x = -3 + 0
15 + 3x = -3

Add '-15' to each side of the equation.
15 + -15 + 3x = -3 + -15

Combine like terms: 15 + -15 = 0
0 + 3x = -3 + -15
3x = -3 + -15

Combine like terms: -3 + -15 = -18
3x = -18

Divide each side by '3'.
x = -6

Simplifying
x = -6

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