10(2x-6)+8=3x+4

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Solution for 10(2x-6)+8=3x+4 equation:


Simplifying
10(2x + -6) + 8 = 3x + 4

Reorder the terms:
10(-6 + 2x) + 8 = 3x + 4
(-6 * 10 + 2x * 10) + 8 = 3x + 4
(-60 + 20x) + 8 = 3x + 4

Reorder the terms:
-60 + 8 + 20x = 3x + 4

Combine like terms: -60 + 8 = -52
-52 + 20x = 3x + 4

Reorder the terms:
-52 + 20x = 4 + 3x

Solving
-52 + 20x = 4 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
-52 + 20x + -3x = 4 + 3x + -3x

Combine like terms: 20x + -3x = 17x
-52 + 17x = 4 + 3x + -3x

Combine like terms: 3x + -3x = 0
-52 + 17x = 4 + 0
-52 + 17x = 4

Add '52' to each side of the equation.
-52 + 52 + 17x = 4 + 52

Combine like terms: -52 + 52 = 0
0 + 17x = 4 + 52
17x = 4 + 52

Combine like terms: 4 + 52 = 56
17x = 56

Divide each side by '17'.
x = 3.294117647

Simplifying
x = 3.294117647

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