(3x+10)+(3x+10)=8x-7

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Solution for (3x+10)+(3x+10)=8x-7 equation:


Simplifying
(3x + 10) + (3x + 10) = 8x + -7

Reorder the terms:
(10 + 3x) + (3x + 10) = 8x + -7

Remove parenthesis around (10 + 3x)
10 + 3x + (3x + 10) = 8x + -7

Reorder the terms:
10 + 3x + (10 + 3x) = 8x + -7

Remove parenthesis around (10 + 3x)
10 + 3x + 10 + 3x = 8x + -7

Reorder the terms:
10 + 10 + 3x + 3x = 8x + -7

Combine like terms: 10 + 10 = 20
20 + 3x + 3x = 8x + -7

Combine like terms: 3x + 3x = 6x
20 + 6x = 8x + -7

Reorder the terms:
20 + 6x = -7 + 8x

Solving
20 + 6x = -7 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
20 + 6x + -8x = -7 + 8x + -8x

Combine like terms: 6x + -8x = -2x
20 + -2x = -7 + 8x + -8x

Combine like terms: 8x + -8x = 0
20 + -2x = -7 + 0
20 + -2x = -7

Add '-20' to each side of the equation.
20 + -20 + -2x = -7 + -20

Combine like terms: 20 + -20 = 0
0 + -2x = -7 + -20
-2x = -7 + -20

Combine like terms: -7 + -20 = -27
-2x = -27

Divide each side by '-2'.
x = 13.5

Simplifying
x = 13.5

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