1.4+4.2(5+3x)=0.7(m+20x)

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Solution for 1.4+4.2(5+3x)=0.7(m+20x) equation: 


Simplifying
1.4 + 4.2(5 + 3x) = 0.7(m + 20x)
1.4 + (5 * 4.2 + 3x * 4.2) = 0.7(m + 20x)
1.4 + (21 + 12.6x) = 0.7(m + 20x)

Combine like terms: 1.4 + 21 = 22.4
22.4 + 12.6x = 0.7(m + 20x)
22.4 + 12.6x = (m * 0.7 + 20x * 0.7)
22.4 + 12.6x = (0.7m + 14x)

Solving
22.4 + 12.6x = 0.7m + 14x

Solving for variable 'x'.

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

Add '-14x' to each side of the equation.
22.4 + 12.6x + -14x = 0.7m + 14x + -14x

Combine like terms: 12.6x + -14x = -1.4x
22.4 + -1.4x = 0.7m + 14x + -14x

Combine like terms: 14x + -14x = 0
22.4 + -1.4x = 0.7m + 0
22.4 + -1.4x = 0.7m

Add '-22.4' to each side of the equation.
22.4 + -22.4 + -1.4x = -22.4 + 0.7m

Combine like terms: 22.4 + -22.4 = 0.0
0.0 + -1.4x = -22.4 + 0.7m
-1.4x = -22.4 + 0.7m

Divide each side by '-1.4'.
x = 16 + -0.5m

Simplifying
x = 16 + -0.5m

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