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

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


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

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

Reorder the terms:
-21 + 7x = 4(5 + x)
-21 + 7x = (5 * 4 + x * 4)
-21 + 7x = (20 + 4x)

Solving
-21 + 7x = 20 + 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 = 20 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-21 + 3x = 20 + 4x + -4x

Combine like terms: 4x + -4x = 0
-21 + 3x = 20 + 0
-21 + 3x = 20

Add '21' to each side of the equation.
-21 + 21 + 3x = 20 + 21

Combine like terms: -21 + 21 = 0
0 + 3x = 20 + 21
3x = 20 + 21

Combine like terms: 20 + 21 = 41
3x = 41

Divide each side by '3'.
x = 13.66666667

Simplifying
x = 13.66666667

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