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

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


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

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

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

Solving
-3 + 3x = 20 + 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.
-3 + 3x + -8x = 20 + 8x + -8x

Combine like terms: 3x + -8x = -5x
-3 + -5x = 20 + 8x + -8x

Combine like terms: 8x + -8x = 0
-3 + -5x = 20 + 0
-3 + -5x = 20

Add '3' to each side of the equation.
-3 + 3 + -5x = 20 + 3

Combine like terms: -3 + 3 = 0
0 + -5x = 20 + 3
-5x = 20 + 3

Combine like terms: 20 + 3 = 23
-5x = 23

Divide each side by '-5'.
x = -4.6

Simplifying
x = -4.6

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