-3(x+2)+8=-7x+10

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Solution for -3(x+2)+8=-7x+10 equation: 


Simplifying
-3(x + 2) + 8 = -7x + 10

Reorder the terms:
-3(2 + x) + 8 = -7x + 10
(2 * -3 + x * -3) + 8 = -7x + 10
(-6 + -3x) + 8 = -7x + 10

Reorder the terms:
-6 + 8 + -3x = -7x + 10

Combine like terms: -6 + 8 = 2
2 + -3x = -7x + 10

Reorder the terms:
2 + -3x = 10 + -7x

Solving
2 + -3x = 10 + -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 + -3x + 7x = 10 + -7x + 7x

Combine like terms: -3x + 7x = 4x
2 + 4x = 10 + -7x + 7x

Combine like terms: -7x + 7x = 0
2 + 4x = 10 + 0
2 + 4x = 10

Add '-2' to each side of the equation.
2 + -2 + 4x = 10 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = 10 + -2
4x = 10 + -2

Combine like terms: 10 + -2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

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