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

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


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

Reorder the terms:
2 + 4x = 3(5 + -2x)
2 + 4x = (5 * 3 + -2x * 3)
2 + 4x = (15 + -6x)

Solving
2 + 4x = 15 + -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.
2 + 4x + 6x = 15 + -6x + 6x

Combine like terms: 4x + 6x = 10x
2 + 10x = 15 + -6x + 6x

Combine like terms: -6x + 6x = 0
2 + 10x = 15 + 0
2 + 10x = 15

Add '-2' to each side of the equation.
2 + -2 + 10x = 15 + -2

Combine like terms: 2 + -2 = 0
0 + 10x = 15 + -2
10x = 15 + -2

Combine like terms: 15 + -2 = 13
10x = 13

Divide each side by '10'.
x = 1.3

Simplifying
x = 1.3

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