12(x-3)+35=7(x+2)

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Solution for 12(x-3)+35=7(x+2) equation:


Simplifying
12(x + -3) + 35 = 7(x + 2)

Reorder the terms:
12(-3 + x) + 35 = 7(x + 2)
(-3 * 12 + x * 12) + 35 = 7(x + 2)
(-36 + 12x) + 35 = 7(x + 2)

Reorder the terms:
-36 + 35 + 12x = 7(x + 2)

Combine like terms: -36 + 35 = -1
-1 + 12x = 7(x + 2)

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

Solving
-1 + 12x = 14 + 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.
-1 + 12x + -7x = 14 + 7x + -7x

Combine like terms: 12x + -7x = 5x
-1 + 5x = 14 + 7x + -7x

Combine like terms: 7x + -7x = 0
-1 + 5x = 14 + 0
-1 + 5x = 14

Add '1' to each side of the equation.
-1 + 1 + 5x = 14 + 1

Combine like terms: -1 + 1 = 0
0 + 5x = 14 + 1
5x = 14 + 1

Combine like terms: 14 + 1 = 15
5x = 15

Divide each side by '5'.
x = 3

Simplifying
x = 3

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