7(x-1)=-5(x+3)+34

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Solution for 7(x-1)=-5(x+3)+34 equation:


Simplifying
7(x + -1) = -5(x + 3) + 34

Reorder the terms:
7(-1 + x) = -5(x + 3) + 34
(-1 * 7 + x * 7) = -5(x + 3) + 34
(-7 + 7x) = -5(x + 3) + 34

Reorder the terms:
-7 + 7x = -5(3 + x) + 34
-7 + 7x = (3 * -5 + x * -5) + 34
-7 + 7x = (-15 + -5x) + 34

Reorder the terms:
-7 + 7x = -15 + 34 + -5x

Combine like terms: -15 + 34 = 19
-7 + 7x = 19 + -5x

Solving
-7 + 7x = 19 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-7 + 7x + 5x = 19 + -5x + 5x

Combine like terms: 7x + 5x = 12x
-7 + 12x = 19 + -5x + 5x

Combine like terms: -5x + 5x = 0
-7 + 12x = 19 + 0
-7 + 12x = 19

Add '7' to each side of the equation.
-7 + 7 + 12x = 19 + 7

Combine like terms: -7 + 7 = 0
0 + 12x = 19 + 7
12x = 19 + 7

Combine like terms: 19 + 7 = 26
12x = 26

Divide each side by '12'.
x = 2.166666667

Simplifying
x = 2.166666667

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