5(2x+4)=3(3x-7)

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Solution for 5(2x+4)=3(3x-7) equation:


Simplifying
5(2x + 4) = 3(3x + -7)

Reorder the terms:
5(4 + 2x) = 3(3x + -7)
(4 * 5 + 2x * 5) = 3(3x + -7)
(20 + 10x) = 3(3x + -7)

Reorder the terms:
20 + 10x = 3(-7 + 3x)
20 + 10x = (-7 * 3 + 3x * 3)
20 + 10x = (-21 + 9x)

Solving
20 + 10x = -21 + 9x

Solving for variable 'x'.

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

Add '-9x' to each side of the equation.
20 + 10x + -9x = -21 + 9x + -9x

Combine like terms: 10x + -9x = 1x
20 + 1x = -21 + 9x + -9x

Combine like terms: 9x + -9x = 0
20 + 1x = -21 + 0
20 + 1x = -21

Add '-20' to each side of the equation.
20 + -20 + 1x = -21 + -20

Combine like terms: 20 + -20 = 0
0 + 1x = -21 + -20
1x = -21 + -20

Combine like terms: -21 + -20 = -41
1x = -41

Divide each side by '1'.
x = -41

Simplifying
x = -41

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