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

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


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

Reorder the terms:
5(-4 + 3x) = 7(2x + 3)
(-4 * 5 + 3x * 5) = 7(2x + 3)
(-20 + 15x) = 7(2x + 3)

Reorder the terms:
-20 + 15x = 7(3 + 2x)
-20 + 15x = (3 * 7 + 2x * 7)
-20 + 15x = (21 + 14x)

Solving
-20 + 15x = 21 + 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.
-20 + 15x + -14x = 21 + 14x + -14x

Combine like terms: 15x + -14x = 1x
-20 + 1x = 21 + 14x + -14x

Combine like terms: 14x + -14x = 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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