7(x-2)=4(x+15)

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Solution for 7(x-2)=4(x+15) equation:


Simplifying
7(x + -2) = 4(x + 15)

Reorder the terms:
7(-2 + x) = 4(x + 15)
(-2 * 7 + x * 7) = 4(x + 15)
(-14 + 7x) = 4(x + 15)

Reorder the terms:
-14 + 7x = 4(15 + x)
-14 + 7x = (15 * 4 + x * 4)
-14 + 7x = (60 + 4x)

Solving
-14 + 7x = 60 + 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.
-14 + 7x + -4x = 60 + 4x + -4x

Combine like terms: 7x + -4x = 3x
-14 + 3x = 60 + 4x + -4x

Combine like terms: 4x + -4x = 0
-14 + 3x = 60 + 0
-14 + 3x = 60

Add '14' to each side of the equation.
-14 + 14 + 3x = 60 + 14

Combine like terms: -14 + 14 = 0
0 + 3x = 60 + 14
3x = 60 + 14

Combine like terms: 60 + 14 = 74
3x = 74

Divide each side by '3'.
x = 24.66666667

Simplifying
x = 24.66666667

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