3(-x+4)=7(2+x)-6

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Solution for 3(-x+4)=7(2+x)-6 equation:


Simplifying
3(-1x + 4) = 7(2 + x) + -6

Reorder the terms:
3(4 + -1x) = 7(2 + x) + -6
(4 * 3 + -1x * 3) = 7(2 + x) + -6
(12 + -3x) = 7(2 + x) + -6
12 + -3x = (2 * 7 + x * 7) + -6
12 + -3x = (14 + 7x) + -6

Reorder the terms:
12 + -3x = 14 + -6 + 7x

Combine like terms: 14 + -6 = 8
12 + -3x = 8 + 7x

Solving
12 + -3x = 8 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
12 + -3x + -7x = 8 + 7x + -7x

Combine like terms: -3x + -7x = -10x
12 + -10x = 8 + 7x + -7x

Combine like terms: 7x + -7x = 0
12 + -10x = 8 + 0
12 + -10x = 8

Add '-12' to each side of the equation.
12 + -12 + -10x = 8 + -12

Combine like terms: 12 + -12 = 0
0 + -10x = 8 + -12
-10x = 8 + -12

Combine like terms: 8 + -12 = -4
-10x = -4

Divide each side by '-10'.
x = 0.4

Simplifying
x = 0.4

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