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

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


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

Reorder the terms:
3(4 + 2x) + -1 = 10x + -3
(4 * 3 + 2x * 3) + -1 = 10x + -3
(12 + 6x) + -1 = 10x + -3

Reorder the terms:
12 + -1 + 6x = 10x + -3

Combine like terms: 12 + -1 = 11
11 + 6x = 10x + -3

Reorder the terms:
11 + 6x = -3 + 10x

Solving
11 + 6x = -3 + 10x

Solving for variable 'x'.

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

Add '-10x' to each side of the equation.
11 + 6x + -10x = -3 + 10x + -10x

Combine like terms: 6x + -10x = -4x
11 + -4x = -3 + 10x + -10x

Combine like terms: 10x + -10x = 0
11 + -4x = -3 + 0
11 + -4x = -3

Add '-11' to each side of the equation.
11 + -11 + -4x = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -4x = -3 + -11
-4x = -3 + -11

Combine like terms: -3 + -11 = -14
-4x = -14

Divide each side by '-4'.
x = 3.5

Simplifying
x = 3.5

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