11-5(3x+2)+7=1-8x

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Solution for 11-5(3x+2)+7=1-8x equation:


Simplifying
11 + -5(3x + 2) + 7 = 1 + -8x

Reorder the terms:
11 + -5(2 + 3x) + 7 = 1 + -8x
11 + (2 * -5 + 3x * -5) + 7 = 1 + -8x
11 + (-10 + -15x) + 7 = 1 + -8x

Reorder the terms:
11 + -10 + 7 + -15x = 1 + -8x

Combine like terms: 11 + -10 = 1
1 + 7 + -15x = 1 + -8x

Combine like terms: 1 + 7 = 8
8 + -15x = 1 + -8x

Solving
8 + -15x = 1 + -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.
8 + -15x + 8x = 1 + -8x + 8x

Combine like terms: -15x + 8x = -7x
8 + -7x = 1 + -8x + 8x

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

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

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

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

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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