-7x+2=3(x+4)

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Solution for -7x+2=3(x+4) equation: 


Simplifying
-7x + 2 = 3(x + 4)

Reorder the terms:
2 + -7x = 3(x + 4)

Reorder the terms:
2 + -7x = 3(4 + x)
2 + -7x = (4 * 3 + x * 3)
2 + -7x = (12 + 3x)

Solving
2 + -7x = 12 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
2 + -7x + -3x = 12 + 3x + -3x

Combine like terms: -7x + -3x = -10x
2 + -10x = 12 + 3x + -3x

Combine like terms: 3x + -3x = 0
2 + -10x = 12 + 0
2 + -10x = 12

Add '-2' to each side of the equation.
2 + -2 + -10x = 12 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = 12 + -2
-10x = 12 + -2

Combine like terms: 12 + -2 = 10
-10x = 10

Divide each side by '-10'.
x = -1

Simplifying
x = -1

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