-4x+2=6(x+7)

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Solution for -4x+2=6(x+7) equation:


Simplifying
-4x + 2 = 6(x + 7)

Reorder the terms:
2 + -4x = 6(x + 7)

Reorder the terms:
2 + -4x = 6(7 + x)
2 + -4x = (7 * 6 + x * 6)
2 + -4x = (42 + 6x)

Solving
2 + -4x = 42 + 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 = 42 + 6x + -6x

Combine like terms: -4x + -6x = -10x
2 + -10x = 42 + 6x + -6x

Combine like terms: 6x + -6x = 0
2 + -10x = 42 + 0
2 + -10x = 42

Add '-2' to each side of the equation.
2 + -2 + -10x = 42 + -2

Combine like terms: 2 + -2 = 0
0 + -10x = 42 + -2
-10x = 42 + -2

Combine like terms: 42 + -2 = 40
-10x = 40

Divide each side by '-10'.
x = -4

Simplifying
x = -4

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