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

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


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

Reorder the terms:
5(1 + 4x) = 10 + -1(3x + -3)
(1 * 5 + 4x * 5) = 10 + -1(3x + -3)
(5 + 20x) = 10 + -1(3x + -3)

Reorder the terms:
5 + 20x = 10 + -1(-3 + 3x)
5 + 20x = 10 + (-3 * -1 + 3x * -1)
5 + 20x = 10 + (3 + -3x)

Combine like terms: 10 + 3 = 13
5 + 20x = 13 + -3x

Solving
5 + 20x = 13 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
5 + 20x + 3x = 13 + -3x + 3x

Combine like terms: 20x + 3x = 23x
5 + 23x = 13 + -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 23x = 13 + 0
5 + 23x = 13

Add '-5' to each side of the equation.
5 + -5 + 23x = 13 + -5

Combine like terms: 5 + -5 = 0
0 + 23x = 13 + -5
23x = 13 + -5

Combine like terms: 13 + -5 = 8
23x = 8

Divide each side by '23'.
x = 0.347826087

Simplifying
x = 0.347826087

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