3(4x+3)-2(7x-1)=10

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Solution for 3(4x+3)-2(7x-1)=10 equation: 


Simplifying
3(4x + 3) + -2(7x + -1) = 10

Reorder the terms:
3(3 + 4x) + -2(7x + -1) = 10
(3 * 3 + 4x * 3) + -2(7x + -1) = 10
(9 + 12x) + -2(7x + -1) = 10

Reorder the terms:
9 + 12x + -2(-1 + 7x) = 10
9 + 12x + (-1 * -2 + 7x * -2) = 10
9 + 12x + (2 + -14x) = 10

Reorder the terms:
9 + 2 + 12x + -14x = 10

Combine like terms: 9 + 2 = 11
11 + 12x + -14x = 10

Combine like terms: 12x + -14x = -2x
11 + -2x = 10

Solving
11 + -2x = 10

Solving for variable 'x'.

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

Add '-11' to each side of the equation.
11 + -11 + -2x = 10 + -11

Combine like terms: 11 + -11 = 0
0 + -2x = 10 + -11
-2x = 10 + -11

Combine like terms: 10 + -11 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5

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