3-2(x+5)=6(x+1)-7

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Solution for 3-2(x+5)=6(x+1)-7 equation:


Simplifying
3 + -2(x + 5) = 6(x + 1) + -7

Reorder the terms:
3 + -2(5 + x) = 6(x + 1) + -7
3 + (5 * -2 + x * -2) = 6(x + 1) + -7
3 + (-10 + -2x) = 6(x + 1) + -7

Combine like terms: 3 + -10 = -7
-7 + -2x = 6(x + 1) + -7

Reorder the terms:
-7 + -2x = 6(1 + x) + -7
-7 + -2x = (1 * 6 + x * 6) + -7
-7 + -2x = (6 + 6x) + -7

Reorder the terms:
-7 + -2x = 6 + -7 + 6x

Combine like terms: 6 + -7 = -1
-7 + -2x = -1 + 6x

Solving
-7 + -2x = -1 + 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.
-7 + -2x + -6x = -1 + 6x + -6x

Combine like terms: -2x + -6x = -8x
-7 + -8x = -1 + 6x + -6x

Combine like terms: 6x + -6x = 0
-7 + -8x = -1 + 0
-7 + -8x = -1

Add '7' to each side of the equation.
-7 + 7 + -8x = -1 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = -1 + 7
-8x = -1 + 7

Combine like terms: -1 + 7 = 6
-8x = 6

Divide each side by '-8'.
x = -0.75

Simplifying
x = -0.75

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