4x+10=2(3x+2)

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Solution for 4x+10=2(3x+2) equation:


Simplifying
4x + 10 = 2(3x + 2)

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

Reorder the terms:
10 + 4x = 2(2 + 3x)
10 + 4x = (2 * 2 + 3x * 2)
10 + 4x = (4 + 6x)

Solving
10 + 4x = 4 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
10 + 4x + -6x = 4 + 6x + -6x

Combine like terms: 4x + -6x = -2x
10 + -2x = 4 + 6x + -6x

Combine like terms: 6x + -6x = 0
10 + -2x = 4 + 0
10 + -2x = 4

Add '-10' to each side of the equation.
10 + -10 + -2x = 4 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 4 + -10
-2x = 4 + -10

Combine like terms: 4 + -10 = -6
-2x = -6

Divide each side by '-2'.
x = 3

Simplifying
x = 3

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