5(4x+4)-6=-6(40x-30)

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Solution for 5(4x+4)-6=-6(40x-30) equation:


Simplifying
5(4x + 4) + -6 = -6(40x + -30)

Reorder the terms:
5(4 + 4x) + -6 = -6(40x + -30)
(4 * 5 + 4x * 5) + -6 = -6(40x + -30)
(20 + 20x) + -6 = -6(40x + -30)

Reorder the terms:
20 + -6 + 20x = -6(40x + -30)

Combine like terms: 20 + -6 = 14
14 + 20x = -6(40x + -30)

Reorder the terms:
14 + 20x = -6(-30 + 40x)
14 + 20x = (-30 * -6 + 40x * -6)
14 + 20x = (180 + -240x)

Solving
14 + 20x = 180 + -240x

Solving for variable 'x'.

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

Add '240x' to each side of the equation.
14 + 20x + 240x = 180 + -240x + 240x

Combine like terms: 20x + 240x = 260x
14 + 260x = 180 + -240x + 240x

Combine like terms: -240x + 240x = 0
14 + 260x = 180 + 0
14 + 260x = 180

Add '-14' to each side of the equation.
14 + -14 + 260x = 180 + -14

Combine like terms: 14 + -14 = 0
0 + 260x = 180 + -14
260x = 180 + -14

Combine like terms: 180 + -14 = 166
260x = 166

Divide each side by '260'.
x = 0.6384615385

Simplifying
x = 0.6384615385

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