3(x-5)=4(2x+1)

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Solution for 3(x-5)=4(2x+1) equation:


Simplifying
3(x + -5) = 4(2x + 1)

Reorder the terms:
3(-5 + x) = 4(2x + 1)
(-5 * 3 + x * 3) = 4(2x + 1)
(-15 + 3x) = 4(2x + 1)

Reorder the terms:
-15 + 3x = 4(1 + 2x)
-15 + 3x = (1 * 4 + 2x * 4)
-15 + 3x = (4 + 8x)

Solving
-15 + 3x = 4 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
-15 + 3x + -8x = 4 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-15 + -5x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0
-15 + -5x = 4 + 0
-15 + -5x = 4

Add '15' to each side of the equation.
-15 + 15 + -5x = 4 + 15

Combine like terms: -15 + 15 = 0
0 + -5x = 4 + 15
-5x = 4 + 15

Combine like terms: 4 + 15 = 19
-5x = 19

Divide each side by '-5'.
x = -3.8

Simplifying
x = -3.8

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