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

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


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

Reorder the terms:
-7(4 + x) + 4x + 7 = 8x + 11
(4 * -7 + x * -7) + 4x + 7 = 8x + 11
(-28 + -7x) + 4x + 7 = 8x + 11

Reorder the terms:
-28 + 7 + -7x + 4x = 8x + 11

Combine like terms: -28 + 7 = -21
-21 + -7x + 4x = 8x + 11

Combine like terms: -7x + 4x = -3x
-21 + -3x = 8x + 11

Reorder the terms:
-21 + -3x = 11 + 8x

Solving
-21 + -3x = 11 + 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.
-21 + -3x + -8x = 11 + 8x + -8x

Combine like terms: -3x + -8x = -11x
-21 + -11x = 11 + 8x + -8x

Combine like terms: 8x + -8x = 0
-21 + -11x = 11 + 0
-21 + -11x = 11

Add '21' to each side of the equation.
-21 + 21 + -11x = 11 + 21

Combine like terms: -21 + 21 = 0
0 + -11x = 11 + 21
-11x = 11 + 21

Combine like terms: 11 + 21 = 32
-11x = 32

Divide each side by '-11'.
x = -2.909090909

Simplifying
x = -2.909090909

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