10(8x+8)-10=80+3(2x+8)

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Solution for 10(8x+8)-10=80+3(2x+8) equation:


Simplifying
10(8x + 8) + -10 = 80 + 3(2x + 8)

Reorder the terms:
10(8 + 8x) + -10 = 80 + 3(2x + 8)
(8 * 10 + 8x * 10) + -10 = 80 + 3(2x + 8)
(80 + 80x) + -10 = 80 + 3(2x + 8)

Reorder the terms:
80 + -10 + 80x = 80 + 3(2x + 8)

Combine like terms: 80 + -10 = 70
70 + 80x = 80 + 3(2x + 8)

Reorder the terms:
70 + 80x = 80 + 3(8 + 2x)
70 + 80x = 80 + (8 * 3 + 2x * 3)
70 + 80x = 80 + (24 + 6x)

Combine like terms: 80 + 24 = 104
70 + 80x = 104 + 6x

Solving
70 + 80x = 104 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
70 + 80x + -6x = 104 + 6x + -6x

Combine like terms: 80x + -6x = 74x
70 + 74x = 104 + 6x + -6x

Combine like terms: 6x + -6x = 0
70 + 74x = 104 + 0
70 + 74x = 104

Add '-70' to each side of the equation.
70 + -70 + 74x = 104 + -70

Combine like terms: 70 + -70 = 0
0 + 74x = 104 + -70
74x = 104 + -70

Combine like terms: 104 + -70 = 34
74x = 34

Divide each side by '74'.
x = 0.4594594595

Simplifying
x = 0.4594594595

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