3(2x-2)+5=2(x+4)+7

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Solution for 3(2x-2)+5=2(x+4)+7 equation:


Simplifying
3(2x + -2) + 5 = 2(x + 4) + 7

Reorder the terms:
3(-2 + 2x) + 5 = 2(x + 4) + 7
(-2 * 3 + 2x * 3) + 5 = 2(x + 4) + 7
(-6 + 6x) + 5 = 2(x + 4) + 7

Reorder the terms:
-6 + 5 + 6x = 2(x + 4) + 7

Combine like terms: -6 + 5 = -1
-1 + 6x = 2(x + 4) + 7

Reorder the terms:
-1 + 6x = 2(4 + x) + 7
-1 + 6x = (4 * 2 + x * 2) + 7
-1 + 6x = (8 + 2x) + 7

Reorder the terms:
-1 + 6x = 8 + 7 + 2x

Combine like terms: 8 + 7 = 15
-1 + 6x = 15 + 2x

Solving
-1 + 6x = 15 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
-1 + 6x + -2x = 15 + 2x + -2x

Combine like terms: 6x + -2x = 4x
-1 + 4x = 15 + 2x + -2x

Combine like terms: 2x + -2x = 0
-1 + 4x = 15 + 0
-1 + 4x = 15

Add '1' to each side of the equation.
-1 + 1 + 4x = 15 + 1

Combine like terms: -1 + 1 = 0
0 + 4x = 15 + 1
4x = 15 + 1

Combine like terms: 15 + 1 = 16
4x = 16

Divide each side by '4'.
x = 4

Simplifying
x = 4

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