1.3(-3.4x+1.8)=1.4(-4.3x+6.7)

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Solution for 1.3(-3.4x+1.8)=1.4(-4.3x+6.7) equation: 


Simplifying
1.3(-3.4x + 1.8) = 1.4(-4.3x + 6.7)

Reorder the terms:
1.3(1.8 + -3.4x) = 1.4(-4.3x + 6.7)
(1.8 * 1.3 + -3.4x * 1.3) = 1.4(-4.3x + 6.7)
(2.34 + -4.42x) = 1.4(-4.3x + 6.7)

Reorder the terms:
2.34 + -4.42x = 1.4(6.7 + -4.3x)
2.34 + -4.42x = (6.7 * 1.4 + -4.3x * 1.4)
2.34 + -4.42x = (9.38 + -6.02x)

Solving
2.34 + -4.42x = 9.38 + -6.02x

Solving for variable 'x'.

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

Add '6.02x' to each side of the equation.
2.34 + -4.42x + 6.02x = 9.38 + -6.02x + 6.02x

Combine like terms: -4.42x + 6.02x = 1.6x
2.34 + 1.6x = 9.38 + -6.02x + 6.02x

Combine like terms: -6.02x + 6.02x = 0.00
2.34 + 1.6x = 9.38 + 0.00
2.34 + 1.6x = 9.38

Add '-2.34' to each side of the equation.
2.34 + -2.34 + 1.6x = 9.38 + -2.34

Combine like terms: 2.34 + -2.34 = 0.00
0.00 + 1.6x = 9.38 + -2.34
1.6x = 9.38 + -2.34

Combine like terms: 9.38 + -2.34 = 7.04
1.6x = 7.04

Divide each side by '1.6'.
x = 4.4

Simplifying
x = 4.4

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