4(2x-8)=.14(49x+70)

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Solution for 4(2x-8)=.14(49x+70) equation: 


Simplifying
4(2x + -8) = 0.14(49x + 70)

Reorder the terms:
4(-8 + 2x) = 0.14(49x + 70)
(-8 * 4 + 2x * 4) = 0.14(49x + 70)
(-32 + 8x) = 0.14(49x + 70)

Reorder the terms:
-32 + 8x = 0.14(70 + 49x)
-32 + 8x = (70 * 0.14 + 49x * 0.14)
-32 + 8x = (9.8 + 6.86x)

Solving
-32 + 8x = 9.8 + 6.86x

Solving for variable 'x'.

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

Add '-6.86x' to each side of the equation.
-32 + 8x + -6.86x = 9.8 + 6.86x + -6.86x

Combine like terms: 8x + -6.86x = 1.14x
-32 + 1.14x = 9.8 + 6.86x + -6.86x

Combine like terms: 6.86x + -6.86x = 0.00
-32 + 1.14x = 9.8 + 0.00
-32 + 1.14x = 9.8

Add '32' to each side of the equation.
-32 + 32 + 1.14x = 9.8 + 32

Combine like terms: -32 + 32 = 0
0 + 1.14x = 9.8 + 32
1.14x = 9.8 + 32

Combine like terms: 9.8 + 32 = 41.8
1.14x = 41.8

Divide each side by '1.14'.
x = 36.66666667

Simplifying
x = 36.66666667

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