4(x-7)-(x+1)=15-x

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Solution for 4(x-7)-(x+1)=15-x equation:


Simplifying
4(x + -7) + -1(x + 1) = 15 + -1x

Reorder the terms:
4(-7 + x) + -1(x + 1) = 15 + -1x
(-7 * 4 + x * 4) + -1(x + 1) = 15 + -1x
(-28 + 4x) + -1(x + 1) = 15 + -1x

Reorder the terms:
-28 + 4x + -1(1 + x) = 15 + -1x
-28 + 4x + (1 * -1 + x * -1) = 15 + -1x
-28 + 4x + (-1 + -1x) = 15 + -1x

Reorder the terms:
-28 + -1 + 4x + -1x = 15 + -1x

Combine like terms: -28 + -1 = -29
-29 + 4x + -1x = 15 + -1x

Combine like terms: 4x + -1x = 3x
-29 + 3x = 15 + -1x

Solving
-29 + 3x = 15 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-29 + 3x + x = 15 + -1x + x

Combine like terms: 3x + x = 4x
-29 + 4x = 15 + -1x + x

Combine like terms: -1x + x = 0
-29 + 4x = 15 + 0
-29 + 4x = 15

Add '29' to each side of the equation.
-29 + 29 + 4x = 15 + 29

Combine like terms: -29 + 29 = 0
0 + 4x = 15 + 29
4x = 15 + 29

Combine like terms: 15 + 29 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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