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

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

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

Reorder the terms:
4 + 6x = 5(3x + 8)

Reorder the terms:
4 + 6x = 5(8 + 3x)
4 + 6x = (8 * 5 + 3x * 5)
4 + 6x = (40 + 15x)

Solving
4 + 6x = 40 + 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.
4 + 6x + -15x = 40 + 15x + -15x

Combine like terms: 6x + -15x = -9x
4 + -9x = 40 + 15x + -15x

Combine like terms: 15x + -15x = 0
4 + -9x = 40 + 0
4 + -9x = 40

Add '-4' to each side of the equation.
4 + -4 + -9x = 40 + -4

Combine like terms: 4 + -4 = 0
0 + -9x = 40 + -4
-9x = 40 + -4

Combine like terms: 40 + -4 = 36
-9x = 36

Divide each side by '-9'.
x = -4

Simplifying
x = -4`