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

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


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

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

Reorder the terms:
20 + 8x = 3(-7 + 5x)
20 + 8x = (-7 * 3 + 5x * 3)
20 + 8x = (-21 + 15x)

Solving
20 + 8x = -21 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
20 + 8x + -15x = -21 + 15x + -15x

Combine like terms: 8x + -15x = -7x
20 + -7x = -21 + 15x + -15x

Combine like terms: 15x + -15x = 0
20 + -7x = -21 + 0
20 + -7x = -21

Add '-20' to each side of the equation.
20 + -20 + -7x = -21 + -20

Combine like terms: 20 + -20 = 0
0 + -7x = -21 + -20
-7x = -21 + -20

Combine like terms: -21 + -20 = -41
-7x = -41

Divide each side by '-7'.
x = 5.857142857

Simplifying
x = 5.857142857

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