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

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


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

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

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

Solving
3 + 3x = -28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
3 + 3x + -4x = -28 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + -1x = -28 + 0
3 + -1x = -28

Add '-3' to each side of the equation.
3 + -3 + -1x = -28 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = -28 + -3
-1x = -28 + -3

Combine like terms: -28 + -3 = -31
-1x = -31

Divide each side by '-1'.
x = 31

Simplifying
x = 31

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