5x-15=8x+4(x-3)

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Solution for 5x-15=8x+4(x-3) equation:


Simplifying
5x + -15 = 8x + 4(x + -3)

Reorder the terms:
-15 + 5x = 8x + 4(x + -3)

Reorder the terms:
-15 + 5x = 8x + 4(-3 + x)
-15 + 5x = 8x + (-3 * 4 + x * 4)
-15 + 5x = 8x + (-12 + 4x)

Reorder the terms:
-15 + 5x = -12 + 8x + 4x

Combine like terms: 8x + 4x = 12x
-15 + 5x = -12 + 12x

Solving
-15 + 5x = -12 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-15 + 5x + -12x = -12 + 12x + -12x

Combine like terms: 5x + -12x = -7x
-15 + -7x = -12 + 12x + -12x

Combine like terms: 12x + -12x = 0
-15 + -7x = -12 + 0
-15 + -7x = -12

Add '15' to each side of the equation.
-15 + 15 + -7x = -12 + 15

Combine like terms: -15 + 15 = 0
0 + -7x = -12 + 15
-7x = -12 + 15

Combine like terms: -12 + 15 = 3
-7x = 3

Divide each side by '-7'.
x = -0.4285714286

Simplifying
x = -0.4285714286

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