1.4(x+7.6)-7.4=6(x+3)-12

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Solution for 1.4(x+7.6)-7.4=6(x+3)-12 equation:


Simplifying
1.4(x + 7.6) + -7.4 = 6(x + 3) + -12

Reorder the terms:
1.4(7.6 + x) + -7.4 = 6(x + 3) + -12
(7.6 * 1.4 + x * 1.4) + -7.4 = 6(x + 3) + -12
(10.64 + 1.4x) + -7.4 = 6(x + 3) + -12

Reorder the terms:
10.64 + -7.4 + 1.4x = 6(x + 3) + -12

Combine like terms: 10.64 + -7.4 = 3.24
3.24 + 1.4x = 6(x + 3) + -12

Reorder the terms:
3.24 + 1.4x = 6(3 + x) + -12
3.24 + 1.4x = (3 * 6 + x * 6) + -12
3.24 + 1.4x = (18 + 6x) + -12

Reorder the terms:
3.24 + 1.4x = 18 + -12 + 6x

Combine like terms: 18 + -12 = 6
3.24 + 1.4x = 6 + 6x

Solving
3.24 + 1.4x = 6 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
3.24 + 1.4x + -6x = 6 + 6x + -6x

Combine like terms: 1.4x + -6x = -4.6x
3.24 + -4.6x = 6 + 6x + -6x

Combine like terms: 6x + -6x = 0
3.24 + -4.6x = 6 + 0
3.24 + -4.6x = 6

Add '-3.24' to each side of the equation.
3.24 + -3.24 + -4.6x = 6 + -3.24

Combine like terms: 3.24 + -3.24 = 0.00
0.00 + -4.6x = 6 + -3.24
-4.6x = 6 + -3.24

Combine like terms: 6 + -3.24 = 2.76
-4.6x = 2.76

Divide each side by '-4.6'.
x = -0.6

Simplifying
x = -0.6

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