7x+5-4(x-3)=x-15

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Solution for 7x+5-4(x-3)=x-15 equation:


Simplifying
7x + 5 + -4(x + -3) = x + -15

Reorder the terms:
7x + 5 + -4(-3 + x) = x + -15
7x + 5 + (-3 * -4 + x * -4) = x + -15
7x + 5 + (12 + -4x) = x + -15

Reorder the terms:
5 + 12 + 7x + -4x = x + -15

Combine like terms: 5 + 12 = 17
17 + 7x + -4x = x + -15

Combine like terms: 7x + -4x = 3x
17 + 3x = x + -15

Reorder the terms:
17 + 3x = -15 + x

Solving
17 + 3x = -15 + 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.
17 + 3x + -1x = -15 + x + -1x

Combine like terms: 3x + -1x = 2x
17 + 2x = -15 + x + -1x

Combine like terms: x + -1x = 0
17 + 2x = -15 + 0
17 + 2x = -15

Add '-17' to each side of the equation.
17 + -17 + 2x = -15 + -17

Combine like terms: 17 + -17 = 0
0 + 2x = -15 + -17
2x = -15 + -17

Combine like terms: -15 + -17 = -32
2x = -32

Divide each side by '2'.
x = -16

Simplifying
x = -16

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