(x+3)-2(2-5x)=6(x+3)-4

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Solution for (x+3)-2(2-5x)=6(x+3)-4 equation:


Simplifying
(x + 3) + -2(2 + -5x) = 6(x + 3) + -4

Reorder the terms:
(3 + x) + -2(2 + -5x) = 6(x + 3) + -4

Remove parenthesis around (3 + x)
3 + x + -2(2 + -5x) = 6(x + 3) + -4
3 + x + (2 * -2 + -5x * -2) = 6(x + 3) + -4
3 + x + (-4 + 10x) = 6(x + 3) + -4

Reorder the terms:
3 + -4 + x + 10x = 6(x + 3) + -4

Combine like terms: 3 + -4 = -1
-1 + x + 10x = 6(x + 3) + -4

Combine like terms: x + 10x = 11x
-1 + 11x = 6(x + 3) + -4

Reorder the terms:
-1 + 11x = 6(3 + x) + -4
-1 + 11x = (3 * 6 + x * 6) + -4
-1 + 11x = (18 + 6x) + -4

Reorder the terms:
-1 + 11x = 18 + -4 + 6x

Combine like terms: 18 + -4 = 14
-1 + 11x = 14 + 6x

Solving
-1 + 11x = 14 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-1 + 11x + -6x = 14 + 6x + -6x

Combine like terms: 11x + -6x = 5x
-1 + 5x = 14 + 6x + -6x

Combine like terms: 6x + -6x = 0
-1 + 5x = 14 + 0
-1 + 5x = 14

Add '1' to each side of the equation.
-1 + 1 + 5x = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 14 + 1
5x = 14 + 1

Combine like terms: 14 + 1 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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