2(x-1)+3(7x)-10=34

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Solution for 2(x-1)+3(7x)-10=34 equation: 


Simplifying
2(x + -1) + 3(7x) + -10 = 34

Reorder the terms:
2(-1 + x) + 3(7x) + -10 = 34
(-1 * 2 + x * 2) + 3(7x) + -10 = 34
(-2 + 2x) + 3(7x) + -10 = 34

Remove parenthesis around (7x)
-2 + 2x + 3 * 7x + -10 = 34

Multiply 3 * 7
-2 + 2x + 21x + -10 = 34

Reorder the terms:
-2 + -10 + 2x + 21x = 34

Combine like terms: -2 + -10 = -12
-12 + 2x + 21x = 34

Combine like terms: 2x + 21x = 23x
-12 + 23x = 34

Solving
-12 + 23x = 34

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + 23x = 34 + 12

Combine like terms: -12 + 12 = 0
0 + 23x = 34 + 12
23x = 34 + 12

Combine like terms: 34 + 12 = 46
23x = 46

Divide each side by '23'.
x = 2

Simplifying
x = 2

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