10-5(3x+1)=5x-4

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Solution for 10-5(3x+1)=5x-4 equation:


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

Reorder the terms:
10 + -5(1 + 3x) = 5x + -4
10 + (1 * -5 + 3x * -5) = 5x + -4
10 + (-5 + -15x) = 5x + -4

Combine like terms: 10 + -5 = 5
5 + -15x = 5x + -4

Reorder the terms:
5 + -15x = -4 + 5x

Solving
5 + -15x = -4 + 5x

Solving for variable 'x'.

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

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

Combine like terms: -15x + -5x = -20x
5 + -20x = -4 + 5x + -5x

Combine like terms: 5x + -5x = 0
5 + -20x = -4 + 0
5 + -20x = -4

Add '-5' to each side of the equation.
5 + -5 + -20x = -4 + -5

Combine like terms: 5 + -5 = 0
0 + -20x = -4 + -5
-20x = -4 + -5

Combine like terms: -4 + -5 = -9
-20x = -9

Divide each side by '-20'.
x = 0.45

Simplifying
x = 0.45

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