5(2x-7)=3(2x+3)

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Solution for 5(2x-7)=3(2x+3) equation:


Simplifying
5(2x + -7) = 3(2x + 3)

Reorder the terms:
5(-7 + 2x) = 3(2x + 3)
(-7 * 5 + 2x * 5) = 3(2x + 3)
(-35 + 10x) = 3(2x + 3)

Reorder the terms:
-35 + 10x = 3(3 + 2x)
-35 + 10x = (3 * 3 + 2x * 3)
-35 + 10x = (9 + 6x)

Solving
-35 + 10x = 9 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-35 + 10x + -6x = 9 + 6x + -6x

Combine like terms: 10x + -6x = 4x
-35 + 4x = 9 + 6x + -6x

Combine like terms: 6x + -6x = 0
-35 + 4x = 9 + 0
-35 + 4x = 9

Add '35' to each side of the equation.
-35 + 35 + 4x = 9 + 35

Combine like terms: -35 + 35 = 0
0 + 4x = 9 + 35
4x = 9 + 35

Combine like terms: 9 + 35 = 44
4x = 44

Divide each side by '4'.
x = 11

Simplifying
x = 11

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