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

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


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

Reorder the terms:
x + 2(-5 + x) = 4 + -3(6x + 3)
x + (-5 * 2 + x * 2) = 4 + -3(6x + 3)
x + (-10 + 2x) = 4 + -3(6x + 3)

Reorder the terms:
-10 + x + 2x = 4 + -3(6x + 3)

Combine like terms: x + 2x = 3x
-10 + 3x = 4 + -3(6x + 3)

Reorder the terms:
-10 + 3x = 4 + -3(3 + 6x)
-10 + 3x = 4 + (3 * -3 + 6x * -3)
-10 + 3x = 4 + (-9 + -18x)

Combine like terms: 4 + -9 = -5
-10 + 3x = -5 + -18x

Solving
-10 + 3x = -5 + -18x

Solving for variable 'x'.

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

Add '18x' to each side of the equation.
-10 + 3x + 18x = -5 + -18x + 18x

Combine like terms: 3x + 18x = 21x
-10 + 21x = -5 + -18x + 18x

Combine like terms: -18x + 18x = 0
-10 + 21x = -5 + 0
-10 + 21x = -5

Add '10' to each side of the equation.
-10 + 10 + 21x = -5 + 10

Combine like terms: -10 + 10 = 0
0 + 21x = -5 + 10
21x = -5 + 10

Combine like terms: -5 + 10 = 5
21x = 5

Divide each side by '21'.
x = 0.2380952381

Simplifying
x = 0.2380952381

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