4(x+1.6)=3(x-1.4)+6.9

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Solution for 4(x+1.6)=3(x-1.4)+6.9 equation: 


Simplifying
4(x + 1.6) = 3(x + -1.4) + 6.9

Reorder the terms:
4(1.6 + x) = 3(x + -1.4) + 6.9
(1.6 * 4 + x * 4) = 3(x + -1.4) + 6.9
(6.4 + 4x) = 3(x + -1.4) + 6.9

Reorder the terms:
6.4 + 4x = 3(-1.4 + x) + 6.9
6.4 + 4x = (-1.4 * 3 + x * 3) + 6.9
6.4 + 4x = (-4.2 + 3x) + 6.9

Reorder the terms:
6.4 + 4x = -4.2 + 6.9 + 3x

Combine like terms: -4.2 + 6.9 = 2.7
6.4 + 4x = 2.7 + 3x

Solving
6.4 + 4x = 2.7 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
6.4 + 4x + -3x = 2.7 + 3x + -3x

Combine like terms: 4x + -3x = 1x
6.4 + 1x = 2.7 + 3x + -3x

Combine like terms: 3x + -3x = 0
6.4 + 1x = 2.7 + 0
6.4 + 1x = 2.7

Add '-6.4' to each side of the equation.
6.4 + -6.4 + 1x = 2.7 + -6.4

Combine like terms: 6.4 + -6.4 = 0.0
0.0 + 1x = 2.7 + -6.4
1x = 2.7 + -6.4

Combine like terms: 2.7 + -6.4 = -3.7
1x = -3.7

Divide each side by '1'.
x = -3.7

Simplifying
x = -3.7

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