8(40-3x)=5(6x+7)

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Solution for 8(40-3x)=5(6x+7) equation:


Simplifying
8(40 + -3x) = 5(6x + 7)
(40 * 8 + -3x * 8) = 5(6x + 7)
(320 + -24x) = 5(6x + 7)

Reorder the terms:
320 + -24x = 5(7 + 6x)
320 + -24x = (7 * 5 + 6x * 5)
320 + -24x = (35 + 30x)

Solving
320 + -24x = 35 + 30x

Solving for variable 'x'.

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

Add '-30x' to each side of the equation.
320 + -24x + -30x = 35 + 30x + -30x

Combine like terms: -24x + -30x = -54x
320 + -54x = 35 + 30x + -30x

Combine like terms: 30x + -30x = 0
320 + -54x = 35 + 0
320 + -54x = 35

Add '-320' to each side of the equation.
320 + -320 + -54x = 35 + -320

Combine like terms: 320 + -320 = 0
0 + -54x = 35 + -320
-54x = 35 + -320

Combine like terms: 35 + -320 = -285
-54x = -285

Divide each side by '-54'.
x = 5.277777778

Simplifying
x = 5.277777778

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