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

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


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

Reorder the terms:
4(-5 + 2x) = 3(4x + 7)
(-5 * 4 + 2x * 4) = 3(4x + 7)
(-20 + 8x) = 3(4x + 7)

Reorder the terms:
-20 + 8x = 3(7 + 4x)
-20 + 8x = (7 * 3 + 4x * 3)
-20 + 8x = (21 + 12x)

Solving
-20 + 8x = 21 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-20 + 8x + -12x = 21 + 12x + -12x

Combine like terms: 8x + -12x = -4x
-20 + -4x = 21 + 12x + -12x

Combine like terms: 12x + -12x = 0
-20 + -4x = 21 + 0
-20 + -4x = 21

Add '20' to each side of the equation.
-20 + 20 + -4x = 21 + 20

Combine like terms: -20 + 20 = 0
0 + -4x = 21 + 20
-4x = 21 + 20

Combine like terms: 21 + 20 = 41
-4x = 41

Divide each side by '-4'.
x = -10.25

Simplifying
x = -10.25

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