8x+2=7(x-6)+4

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Solution for 8x+2=7(x-6)+4 equation: 


Simplifying
8x + 2 = 7(x + -6) + 4

Reorder the terms:
2 + 8x = 7(x + -6) + 4

Reorder the terms:
2 + 8x = 7(-6 + x) + 4
2 + 8x = (-6 * 7 + x * 7) + 4
2 + 8x = (-42 + 7x) + 4

Reorder the terms:
2 + 8x = -42 + 4 + 7x

Combine like terms: -42 + 4 = -38
2 + 8x = -38 + 7x

Solving
2 + 8x = -38 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
2 + 8x + -7x = -38 + 7x + -7x

Combine like terms: 8x + -7x = 1x
2 + 1x = -38 + 7x + -7x

Combine like terms: 7x + -7x = 0
2 + 1x = -38 + 0
2 + 1x = -38

Add '-2' to each side of the equation.
2 + -2 + 1x = -38 + -2

Combine like terms: 2 + -2 = 0
0 + 1x = -38 + -2
1x = -38 + -2

Combine like terms: -38 + -2 = -40
1x = -40

Divide each side by '1'.
x = -40

Simplifying
x = -40

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