5(6x-5)=7(2x+1)

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Solution for 5(6x-5)=7(2x+1) equation:


Simplifying
5(6x + -5) = 7(2x + 1)

Reorder the terms:
5(-5 + 6x) = 7(2x + 1)
(-5 * 5 + 6x * 5) = 7(2x + 1)
(-25 + 30x) = 7(2x + 1)

Reorder the terms:
-25 + 30x = 7(1 + 2x)
-25 + 30x = (1 * 7 + 2x * 7)
-25 + 30x = (7 + 14x)

Solving
-25 + 30x = 7 + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
-25 + 30x + -14x = 7 + 14x + -14x

Combine like terms: 30x + -14x = 16x
-25 + 16x = 7 + 14x + -14x

Combine like terms: 14x + -14x = 0
-25 + 16x = 7 + 0
-25 + 16x = 7

Add '25' to each side of the equation.
-25 + 25 + 16x = 7 + 25

Combine like terms: -25 + 25 = 0
0 + 16x = 7 + 25
16x = 7 + 25

Combine like terms: 7 + 25 = 32
16x = 32

Divide each side by '16'.
x = 2

Simplifying
x = 2

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