2x(6+1)-7=5-3x+1

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Solution for 2x(6+1)-7=5-3x+1 equation: 


Simplifying
2x(6 + 1) + -7 = 5 + -3x + 1

Combine like terms: 6 + 1 = 7
2x(7) + -7 = 5 + -3x + 1

Reorder the terms for easier multiplication:
2 * 7x + -7 = 5 + -3x + 1

Multiply 2 * 7
14x + -7 = 5 + -3x + 1

Reorder the terms:
-7 + 14x = 5 + -3x + 1

Reorder the terms:
-7 + 14x = 5 + 1 + -3x

Combine like terms: 5 + 1 = 6
-7 + 14x = 6 + -3x

Solving
-7 + 14x = 6 + -3x

Solving for variable 'x'.

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

Add '3x' to each side of the equation.
-7 + 14x + 3x = 6 + -3x + 3x

Combine like terms: 14x + 3x = 17x
-7 + 17x = 6 + -3x + 3x

Combine like terms: -3x + 3x = 0
-7 + 17x = 6 + 0
-7 + 17x = 6

Add '7' to each side of the equation.
-7 + 7 + 17x = 6 + 7

Combine like terms: -7 + 7 = 0
0 + 17x = 6 + 7
17x = 6 + 7

Combine like terms: 6 + 7 = 13
17x = 13

Divide each side by '17'.
x = 0.7647058824

Simplifying
x = 0.7647058824

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