0.8(6x+12)+1=0.7(9x-3)+5

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Solution for 0.8(6x+12)+1=0.7(9x-3)+5 equation:


Simplifying
0.8(6x + 12) + 1 = 0.7(9x + -3) + 5

Reorder the terms:
0.8(12 + 6x) + 1 = 0.7(9x + -3) + 5
(12 * 0.8 + 6x * 0.8) + 1 = 0.7(9x + -3) + 5
(9.6 + 4.8x) + 1 = 0.7(9x + -3) + 5

Reorder the terms:
9.6 + 1 + 4.8x = 0.7(9x + -3) + 5

Combine like terms: 9.6 + 1 = 10.6
10.6 + 4.8x = 0.7(9x + -3) + 5

Reorder the terms:
10.6 + 4.8x = 0.7(-3 + 9x) + 5
10.6 + 4.8x = (-3 * 0.7 + 9x * 0.7) + 5
10.6 + 4.8x = (-2.1 + 6.3x) + 5

Reorder the terms:
10.6 + 4.8x = -2.1 + 5 + 6.3x

Combine like terms: -2.1 + 5 = 2.9
10.6 + 4.8x = 2.9 + 6.3x

Solving
10.6 + 4.8x = 2.9 + 6.3x

Solving for variable 'x'.

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

Add '-6.3x' to each side of the equation.
10.6 + 4.8x + -6.3x = 2.9 + 6.3x + -6.3x

Combine like terms: 4.8x + -6.3x = -1.5x
10.6 + -1.5x = 2.9 + 6.3x + -6.3x

Combine like terms: 6.3x + -6.3x = 0.0
10.6 + -1.5x = 2.9 + 0.0
10.6 + -1.5x = 2.9

Add '-10.6' to each side of the equation.
10.6 + -10.6 + -1.5x = 2.9 + -10.6

Combine like terms: 10.6 + -10.6 = 0.0
0.0 + -1.5x = 2.9 + -10.6
-1.5x = 2.9 + -10.6

Combine like terms: 2.9 + -10.6 = -7.7
-1.5x = -7.7

Divide each side by '-1.5'.
x = 5.133333333

Simplifying
x = 5.133333333

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