6(3x)-4(x+3)=8+3(5x+2)

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Solution for 6(3x)-4(x+3)=8+3(5x+2) equation:


Simplifying
6(3x) + -4(x + 3) = 8 + 3(5x + 2)

Remove parenthesis around (3x)
6 * 3x + -4(x + 3) = 8 + 3(5x + 2)

Multiply 6 * 3
18x + -4(x + 3) = 8 + 3(5x + 2)

Reorder the terms:
18x + -4(3 + x) = 8 + 3(5x + 2)
18x + (3 * -4 + x * -4) = 8 + 3(5x + 2)
18x + (-12 + -4x) = 8 + 3(5x + 2)

Reorder the terms:
-12 + 18x + -4x = 8 + 3(5x + 2)

Combine like terms: 18x + -4x = 14x
-12 + 14x = 8 + 3(5x + 2)

Reorder the terms:
-12 + 14x = 8 + 3(2 + 5x)
-12 + 14x = 8 + (2 * 3 + 5x * 3)
-12 + 14x = 8 + (6 + 15x)

Combine like terms: 8 + 6 = 14
-12 + 14x = 14 + 15x

Solving
-12 + 14x = 14 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-12 + 14x + -15x = 14 + 15x + -15x

Combine like terms: 14x + -15x = -1x
-12 + -1x = 14 + 15x + -15x

Combine like terms: 15x + -15x = 0
-12 + -1x = 14 + 0
-12 + -1x = 14

Add '12' to each side of the equation.
-12 + 12 + -1x = 14 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 14 + 12
-1x = 14 + 12

Combine like terms: 14 + 12 = 26
-1x = 26

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

Simplifying
x = -26

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