6x+2=4(-3x+5)

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Solution for 6x+2=4(-3x+5) equation:


Simplifying
6x + 2 = 4(-3x + 5)

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

Reorder the terms:
2 + 6x = 4(5 + -3x)
2 + 6x = (5 * 4 + -3x * 4)
2 + 6x = (20 + -12x)

Solving
2 + 6x = 20 + -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.
2 + 6x + 12x = 20 + -12x + 12x

Combine like terms: 6x + 12x = 18x
2 + 18x = 20 + -12x + 12x

Combine like terms: -12x + 12x = 0
2 + 18x = 20 + 0
2 + 18x = 20

Add '-2' to each side of the equation.
2 + -2 + 18x = 20 + -2

Combine like terms: 2 + -2 = 0
0 + 18x = 20 + -2
18x = 20 + -2

Combine like terms: 20 + -2 = 18
18x = 18

Divide each side by '18'.
x = 1

Simplifying
x = 1

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