8x+11-4(x+2)=2x-7

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Solution for 8x+11-4(x+2)=2x-7 equation:


Simplifying
8x + 11 + -4(x + 2) = 2x + -7

Reorder the terms:
8x + 11 + -4(2 + x) = 2x + -7
8x + 11 + (2 * -4 + x * -4) = 2x + -7
8x + 11 + (-8 + -4x) = 2x + -7

Reorder the terms:
11 + -8 + 8x + -4x = 2x + -7

Combine like terms: 11 + -8 = 3
3 + 8x + -4x = 2x + -7

Combine like terms: 8x + -4x = 4x
3 + 4x = 2x + -7

Reorder the terms:
3 + 4x = -7 + 2x

Solving
3 + 4x = -7 + 2x

Solving for variable 'x'.

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

Add '-2x' to each side of the equation.
3 + 4x + -2x = -7 + 2x + -2x

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

Combine like terms: 2x + -2x = 0
3 + 2x = -7 + 0
3 + 2x = -7

Add '-3' to each side of the equation.
3 + -3 + 2x = -7 + -3

Combine like terms: 3 + -3 = 0
0 + 2x = -7 + -3
2x = -7 + -3

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

Divide each side by '2'.
x = -5

Simplifying
x = -5

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