3(5x-7)=5(8x+11)

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Solution for 3(5x-7)=5(8x+11) equation:


Simplifying
3(5x + -7) = 5(8x + 11)

Reorder the terms:
3(-7 + 5x) = 5(8x + 11)
(-7 * 3 + 5x * 3) = 5(8x + 11)
(-21 + 15x) = 5(8x + 11)

Reorder the terms:
-21 + 15x = 5(11 + 8x)
-21 + 15x = (11 * 5 + 8x * 5)
-21 + 15x = (55 + 40x)

Solving
-21 + 15x = 55 + 40x

Solving for variable 'x'.

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

Add '-40x' to each side of the equation.
-21 + 15x + -40x = 55 + 40x + -40x

Combine like terms: 15x + -40x = -25x
-21 + -25x = 55 + 40x + -40x

Combine like terms: 40x + -40x = 0
-21 + -25x = 55 + 0
-21 + -25x = 55

Add '21' to each side of the equation.
-21 + 21 + -25x = 55 + 21

Combine like terms: -21 + 21 = 0
0 + -25x = 55 + 21
-25x = 55 + 21

Combine like terms: 55 + 21 = 76
-25x = 76

Divide each side by '-25'.
x = -3.04

Simplifying
x = -3.04

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