6(-x+8)=4(7x-3)

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Solution for 6(-x+8)=4(7x-3) equation:


Simplifying
6(-1x + 8) = 4(7x + -3)

Reorder the terms:
6(8 + -1x) = 4(7x + -3)
(8 * 6 + -1x * 6) = 4(7x + -3)
(48 + -6x) = 4(7x + -3)

Reorder the terms:
48 + -6x = 4(-3 + 7x)
48 + -6x = (-3 * 4 + 7x * 4)
48 + -6x = (-12 + 28x)

Solving
48 + -6x = -12 + 28x

Solving for variable 'x'.

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

Add '-28x' to each side of the equation.
48 + -6x + -28x = -12 + 28x + -28x

Combine like terms: -6x + -28x = -34x
48 + -34x = -12 + 28x + -28x

Combine like terms: 28x + -28x = 0
48 + -34x = -12 + 0
48 + -34x = -12

Add '-48' to each side of the equation.
48 + -48 + -34x = -12 + -48

Combine like terms: 48 + -48 = 0
0 + -34x = -12 + -48
-34x = -12 + -48

Combine like terms: -12 + -48 = -60
-34x = -60

Divide each side by '-34'.
x = 1.764705882

Simplifying
x = 1.764705882

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