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

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


Simplifying
2(5 + -4x) = 3(5x + 1)
(5 * 2 + -4x * 2) = 3(5x + 1)
(10 + -8x) = 3(5x + 1)

Reorder the terms:
10 + -8x = 3(1 + 5x)
10 + -8x = (1 * 3 + 5x * 3)
10 + -8x = (3 + 15x)

Solving
10 + -8x = 3 + 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.
10 + -8x + -15x = 3 + 15x + -15x

Combine like terms: -8x + -15x = -23x
10 + -23x = 3 + 15x + -15x

Combine like terms: 15x + -15x = 0
10 + -23x = 3 + 0
10 + -23x = 3

Add '-10' to each side of the equation.
10 + -10 + -23x = 3 + -10

Combine like terms: 10 + -10 = 0
0 + -23x = 3 + -10
-23x = 3 + -10

Combine like terms: 3 + -10 = -7
-23x = -7

Divide each side by '-23'.
x = 0.3043478261

Simplifying
x = 0.3043478261

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