8(4x-6)=11-(x+7)

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Solution for 8(4x-6)=11-(x+7) equation:


Simplifying
8(4x + -6) = 11 + -1(x + 7)

Reorder the terms:
8(-6 + 4x) = 11 + -1(x + 7)
(-6 * 8 + 4x * 8) = 11 + -1(x + 7)
(-48 + 32x) = 11 + -1(x + 7)

Reorder the terms:
-48 + 32x = 11 + -1(7 + x)
-48 + 32x = 11 + (7 * -1 + x * -1)
-48 + 32x = 11 + (-7 + -1x)

Combine like terms: 11 + -7 = 4
-48 + 32x = 4 + -1x

Solving
-48 + 32x = 4 + -1x

Solving for variable 'x'.

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

Add 'x' to each side of the equation.
-48 + 32x + x = 4 + -1x + x

Combine like terms: 32x + x = 33x
-48 + 33x = 4 + -1x + x

Combine like terms: -1x + x = 0
-48 + 33x = 4 + 0
-48 + 33x = 4

Add '48' to each side of the equation.
-48 + 48 + 33x = 4 + 48

Combine like terms: -48 + 48 = 0
0 + 33x = 4 + 48
33x = 4 + 48

Combine like terms: 4 + 48 = 52
33x = 52

Divide each side by '33'.
x = 1.575757576

Simplifying
x = 1.575757576

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