4(2x-8)=0.143(49x+70)

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Solution for 4(2x-8)=0.143(49x+70) equation:


Simplifying
4(2x + -8) = 0.143(49x + 70)

Reorder the terms:
4(-8 + 2x) = 0.143(49x + 70)
(-8 * 4 + 2x * 4) = 0.143(49x + 70)
(-32 + 8x) = 0.143(49x + 70)

Reorder the terms:
-32 + 8x = 0.143(70 + 49x)
-32 + 8x = (70 * 0.143 + 49x * 0.143)
-32 + 8x = (10.01 + 7.007x)

Solving
-32 + 8x = 10.01 + 7.007x

Solving for variable 'x'.

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

Add '-7.007x' to each side of the equation.
-32 + 8x + -7.007x = 10.01 + 7.007x + -7.007x

Combine like terms: 8x + -7.007x = 0.993x
-32 + 0.993x = 10.01 + 7.007x + -7.007x

Combine like terms: 7.007x + -7.007x = 0.000
-32 + 0.993x = 10.01 + 0.000
-32 + 0.993x = 10.01

Add '32' to each side of the equation.
-32 + 32 + 0.993x = 10.01 + 32

Combine like terms: -32 + 32 = 0
0 + 0.993x = 10.01 + 32
0.993x = 10.01 + 32

Combine like terms: 10.01 + 32 = 42.01
0.993x = 42.01

Divide each side by '0.993'.
x = 42.306143

Simplifying
x = 42.306143

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