-7x+2=8(x+4)

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Solution for -7x+2=8(x+4) equation:


Simplifying
-7x + 2 = 8(x + 4)

Reorder the terms:
2 + -7x = 8(x + 4)

Reorder the terms:
2 + -7x = 8(4 + x)
2 + -7x = (4 * 8 + x * 8)
2 + -7x = (32 + 8x)

Solving
2 + -7x = 32 + 8x

Solving for variable 'x'.

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

Add '-8x' to each side of the equation.
2 + -7x + -8x = 32 + 8x + -8x

Combine like terms: -7x + -8x = -15x
2 + -15x = 32 + 8x + -8x

Combine like terms: 8x + -8x = 0
2 + -15x = 32 + 0
2 + -15x = 32

Add '-2' to each side of the equation.
2 + -2 + -15x = 32 + -2

Combine like terms: 2 + -2 = 0
0 + -15x = 32 + -2
-15x = 32 + -2

Combine like terms: 32 + -2 = 30
-15x = 30

Divide each side by '-15'.
x = -2

Simplifying
x = -2

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