6(x-0.359)-4(x-1.259)=7.8

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Solution for 6(x-0.359)-4(x-1.259)=7.8 equation: 


Simplifying
6(x + -0.359) + -4(x + -1.259) = 7.8

Reorder the terms:
6(-0.359 + x) + -4(x + -1.259) = 7.8
(-0.359 * 6 + x * 6) + -4(x + -1.259) = 7.8
(-2.154 + 6x) + -4(x + -1.259) = 7.8

Reorder the terms:
-2.154 + 6x + -4(-1.259 + x) = 7.8
-2.154 + 6x + (-1.259 * -4 + x * -4) = 7.8
-2.154 + 6x + (5.036 + -4x) = 7.8

Reorder the terms:
-2.154 + 5.036 + 6x + -4x = 7.8

Combine like terms: -2.154 + 5.036 = 2.882
2.882 + 6x + -4x = 7.8

Combine like terms: 6x + -4x = 2x
2.882 + 2x = 7.8

Solving
2.882 + 2x = 7.8

Solving for variable 'x'.

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

Add '-2.882' to each side of the equation.
2.882 + -2.882 + 2x = 7.8 + -2.882

Combine like terms: 2.882 + -2.882 = 0.000
0.000 + 2x = 7.8 + -2.882
2x = 7.8 + -2.882

Combine like terms: 7.8 + -2.882 = 4.918
2x = 4.918

Divide each side by '2'.
x = 2.459

Simplifying
x = 2.459

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