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

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


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

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

Reorder the terms:
-3 + x + -1x = 5(1 + -2x)

Combine like terms: x + -1x = 0
-3 + 0 = 5(1 + -2x)
-3 = 5(1 + -2x)
-3 = (1 * 5 + -2x * 5)
-3 = (5 + -10x)

Solving
-3 = 5 + -10x

Solving for variable 'x'.

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

Add '10x' to each side of the equation.
-3 + 10x = 5 + -10x + 10x

Combine like terms: -10x + 10x = 0
-3 + 10x = 5 + 0
-3 + 10x = 5

Add '3' to each side of the equation.
-3 + 3 + 10x = 5 + 3

Combine like terms: -3 + 3 = 0
0 + 10x = 5 + 3
10x = 5 + 3

Combine like terms: 5 + 3 = 8
10x = 8

Divide each side by '10'.
x = 0.8

Simplifying
x = 0.8

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