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

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


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

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

Combine like terms: 2x + 2x = 4x
-5 + 4x = 3(4x + -4) + 3

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

Reorder the terms:
-5 + 4x = -12 + 3 + 12x

Combine like terms: -12 + 3 = -9
-5 + 4x = -9 + 12x

Solving
-5 + 4x = -9 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
-5 + 4x + -12x = -9 + 12x + -12x

Combine like terms: 4x + -12x = -8x
-5 + -8x = -9 + 12x + -12x

Combine like terms: 12x + -12x = 0
-5 + -8x = -9 + 0
-5 + -8x = -9

Add '5' to each side of the equation.
-5 + 5 + -8x = -9 + 5

Combine like terms: -5 + 5 = 0
0 + -8x = -9 + 5
-8x = -9 + 5

Combine like terms: -9 + 5 = -4
-8x = -4

Divide each side by '-8'.
x = 0.5

Simplifying
x = 0.5

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