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

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


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

Reorder the terms:
7(-3 + x) = (4x + 5)
(-3 * 7 + x * 7) = (4x + 5)
(-21 + 7x) = (4x + 5)

Reorder the terms:
-21 + 7x = (5 + 4x)

Remove parenthesis around (5 + 4x)
-21 + 7x = 5 + 4x

Solving
-21 + 7x = 5 + 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.
-21 + 7x + -4x = 5 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-21 + 3x = 5 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 3x = 5 + 0
-21 + 3x = 5

Add '21' to each side of the equation.
-21 + 21 + 3x = 5 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = 5 + 21
3x = 5 + 21

Combine like terms: 5 + 21 = 26
3x = 26

Divide each side by '3'.
x = 8.666666667

Simplifying
x = 8.666666667

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