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

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


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

Reorder the terms:
3(4 + x) + -2 = 2(2x + 5) + -2
(4 * 3 + x * 3) + -2 = 2(2x + 5) + -2
(12 + 3x) + -2 = 2(2x + 5) + -2

Reorder the terms:
12 + -2 + 3x = 2(2x + 5) + -2

Combine like terms: 12 + -2 = 10
10 + 3x = 2(2x + 5) + -2

Reorder the terms:
10 + 3x = 2(5 + 2x) + -2
10 + 3x = (5 * 2 + 2x * 2) + -2
10 + 3x = (10 + 4x) + -2

Reorder the terms:
10 + 3x = 10 + -2 + 4x

Combine like terms: 10 + -2 = 8
10 + 3x = 8 + 4x

Solving
10 + 3x = 8 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
10 + 3x + -4x = 8 + 4x + -4x

Combine like terms: 3x + -4x = -1x
10 + -1x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
10 + -1x = 8 + 0
10 + -1x = 8

Add '-10' to each side of the equation.
10 + -10 + -1x = 8 + -10

Combine like terms: 10 + -10 = 0
0 + -1x = 8 + -10
-1x = 8 + -10

Combine like terms: 8 + -10 = -2
-1x = -2

Divide each side by '-1'.
x = 2

Simplifying
x = 2

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