05(5x+6)=01-(x-3)

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Solution for 05(5x+6)=01-(x-3) equation:


Simplifying
5(5x + 6) = 1 + -1(x + -3)

Reorder the terms:
5(6 + 5x) = 1 + -1(x + -3)
(6 * 5 + 5x * 5) = 1 + -1(x + -3)
(30 + 25x) = 1 + -1(x + -3)

Reorder the terms:
30 + 25x = 1 + -1(-3 + x)
30 + 25x = 1 + (-3 * -1 + x * -1)
30 + 25x = 1 + (3 + -1x)

Combine like terms: 1 + 3 = 4
30 + 25x = 4 + -1x

Solving
30 + 25x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
30 + 25x + x = 4 + -1x + x

Combine like terms: 25x + x = 26x
30 + 26x = 4 + -1x + x

Combine like terms: -1x + x = 0
30 + 26x = 4 + 0
30 + 26x = 4

Add '-30' to each side of the equation.
30 + -30 + 26x = 4 + -30

Combine like terms: 30 + -30 = 0
0 + 26x = 4 + -30
26x = 4 + -30

Combine like terms: 4 + -30 = -26
26x = -26

Divide each side by '26'.
x = -1

Simplifying
x = -1

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