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

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


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

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

Remove parenthesis around (3 + x)
3 + x = (4x + -7)

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

Remove parenthesis around (-7 + 4x)
3 + x = -7 + 4x

Solving
3 + x = -7 + 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 + x + -4x = -7 + 4x + -4x

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

Combine like terms: 4x + -4x = 0
3 + -3x = -7 + 0
3 + -3x = -7

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

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

Combine like terms: -7 + -3 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333

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