4x-10+8x=6(3x-3)+5

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Solution for 4x-10+8x=6(3x-3)+5 equation:


Simplifying
4x + -10 + 8x = 6(3x + -3) + 5

Reorder the terms:
-10 + 4x + 8x = 6(3x + -3) + 5

Combine like terms: 4x + 8x = 12x
-10 + 12x = 6(3x + -3) + 5

Reorder the terms:
-10 + 12x = 6(-3 + 3x) + 5
-10 + 12x = (-3 * 6 + 3x * 6) + 5
-10 + 12x = (-18 + 18x) + 5

Reorder the terms:
-10 + 12x = -18 + 5 + 18x

Combine like terms: -18 + 5 = -13
-10 + 12x = -13 + 18x

Solving
-10 + 12x = -13 + 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 + 12x + -18x = -13 + 18x + -18x

Combine like terms: 12x + -18x = -6x
-10 + -6x = -13 + 18x + -18x

Combine like terms: 18x + -18x = 0
-10 + -6x = -13 + 0
-10 + -6x = -13

Add '10' to each side of the equation.
-10 + 10 + -6x = -13 + 10

Combine like terms: -10 + 10 = 0
0 + -6x = -13 + 10
-6x = -13 + 10

Combine like terms: -13 + 10 = -3
-6x = -3

Divide each side by '-6'.
x = 0.5

Simplifying
x = 0.5

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