2x*2+8*2=3x*2+2x

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Solution for 2x*2+8*2=3x*2+2x equation:


Simplifying
2x * 2 + 8 * 2 = 3x * 2 + 2x

Reorder the terms for easier multiplication:
2 * 2x + 8 * 2 = 3x * 2 + 2x

Multiply 2 * 2
4x + 8 * 2 = 3x * 2 + 2x

Multiply 8 * 2
4x + 16 = 3x * 2 + 2x

Reorder the terms:
16 + 4x = 3x * 2 + 2x

Reorder the terms for easier multiplication:
16 + 4x = 3 * 2x + 2x

Multiply 3 * 2
16 + 4x = 6x + 2x

Combine like terms: 6x + 2x = 8x
16 + 4x = 8x

Solving
16 + 4x = 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
16 + 4x + -8x = 8x + -8x

Combine like terms: 4x + -8x = -4x
16 + -4x = 8x + -8x

Combine like terms: 8x + -8x = 0
16 + -4x = 0

Add '-16' to each side of the equation.
16 + -16 + -4x = 0 + -16

Combine like terms: 16 + -16 = 0
0 + -4x = 0 + -16
-4x = 0 + -16

Combine like terms: 0 + -16 = -16
-4x = -16

Divide each side by '-4'.
x = 4

Simplifying
x = 4

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