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

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


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

Reorder the terms:
2(-4 + 5x) = 3(4x + 1)
(-4 * 2 + 5x * 2) = 3(4x + 1)
(-8 + 10x) = 3(4x + 1)

Reorder the terms:
-8 + 10x = 3(1 + 4x)
-8 + 10x = (1 * 3 + 4x * 3)
-8 + 10x = (3 + 12x)

Solving
-8 + 10x = 3 + 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.
-8 + 10x + -12x = 3 + 12x + -12x

Combine like terms: 10x + -12x = -2x
-8 + -2x = 3 + 12x + -12x

Combine like terms: 12x + -12x = 0
-8 + -2x = 3 + 0
-8 + -2x = 3

Add '8' to each side of the equation.
-8 + 8 + -2x = 3 + 8

Combine like terms: -8 + 8 = 0
0 + -2x = 3 + 8
-2x = 3 + 8

Combine like terms: 3 + 8 = 11
-2x = 11

Divide each side by '-2'.
x = -5.5

Simplifying
x = -5.5

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