-38.236+7.9x=2.4(7.8x+1.2)

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Solution for -38.236+7.9x=2.4(7.8x+1.2) equation: 


Simplifying
-38.236 + 7.9x = 2.4(7.8x + 1.2)

Reorder the terms:
-38.236 + 7.9x = 2.4(1.2 + 7.8x)
-38.236 + 7.9x = (1.2 * 2.4 + 7.8x * 2.4)
-38.236 + 7.9x = (2.88 + 18.72x)

Solving
-38.236 + 7.9x = 2.88 + 18.72x

Solving for variable 'x'.

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

Add '-18.72x' to each side of the equation.
-38.236 + 7.9x + -18.72x = 2.88 + 18.72x + -18.72x

Combine like terms: 7.9x + -18.72x = -10.82x
-38.236 + -10.82x = 2.88 + 18.72x + -18.72x

Combine like terms: 18.72x + -18.72x = 0.00
-38.236 + -10.82x = 2.88 + 0.00
-38.236 + -10.82x = 2.88

Add '38.236' to each side of the equation.
-38.236 + 38.236 + -10.82x = 2.88 + 38.236

Combine like terms: -38.236 + 38.236 = 0.000
0.000 + -10.82x = 2.88 + 38.236
-10.82x = 2.88 + 38.236

Combine like terms: 2.88 + 38.236 = 41.116
-10.82x = 41.116

Divide each side by '-10.82'.
x = -3.8

Simplifying
x = -3.8

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