5(3x-5)=7(x+1)

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Solution for 5(3x-5)=7(x+1) equation:


Simplifying
5(3x + -5) = 7(x + 1)

Reorder the terms:
5(-5 + 3x) = 7(x + 1)
(-5 * 5 + 3x * 5) = 7(x + 1)
(-25 + 15x) = 7(x + 1)

Reorder the terms:
-25 + 15x = 7(1 + x)
-25 + 15x = (1 * 7 + x * 7)
-25 + 15x = (7 + 7x)

Solving
-25 + 15x = 7 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-25 + 15x + -7x = 7 + 7x + -7x

Combine like terms: 15x + -7x = 8x
-25 + 8x = 7 + 7x + -7x

Combine like terms: 7x + -7x = 0
-25 + 8x = 7 + 0
-25 + 8x = 7

Add '25' to each side of the equation.
-25 + 25 + 8x = 7 + 25

Combine like terms: -25 + 25 = 0
0 + 8x = 7 + 25
8x = 7 + 25

Combine like terms: 7 + 25 = 32
8x = 32

Divide each side by '8'.
x = 4

Simplifying
x = 4

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