4(3)-5=7(x-1)+9

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Solution for 4(3)-5=7(x-1)+9 equation:


Simplifying
4(3) + -5 = 7(x + -1) + 9

Multiply 4 * 3
12 + -5 = 7(x + -1) + 9

Combine like terms: 12 + -5 = 7
7 = 7(x + -1) + 9

Reorder the terms:
7 = 7(-1 + x) + 9
7 = (-1 * 7 + x * 7) + 9
7 = (-7 + 7x) + 9

Reorder the terms:
7 = -7 + 9 + 7x

Combine like terms: -7 + 9 = 2
7 = 2 + 7x

Solving
7 = 2 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
7 + -7x = 2 + 7x + -7x

Combine like terms: 7x + -7x = 0
7 + -7x = 2 + 0
7 + -7x = 2

Add '-7' to each side of the equation.
7 + -7 + -7x = 2 + -7

Combine like terms: 7 + -7 = 0
0 + -7x = 2 + -7
-7x = 2 + -7

Combine like terms: 2 + -7 = -5
-7x = -5

Divide each side by '-7'.
x = 0.7142857143

Simplifying
x = 0.7142857143

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