3(x+4)-7(x-2)=12(x+4)-3

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Solution for 3(x+4)-7(x-2)=12(x+4)-3 equation:


Simplifying
3(x + 4) + -7(x + -2) = 12(x + 4) + -3

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

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

Reorder the terms:
12 + 14 + 3x + -7x = 12(x + 4) + -3

Combine like terms: 12 + 14 = 26
26 + 3x + -7x = 12(x + 4) + -3

Combine like terms: 3x + -7x = -4x
26 + -4x = 12(x + 4) + -3

Reorder the terms:
26 + -4x = 12(4 + x) + -3
26 + -4x = (4 * 12 + x * 12) + -3
26 + -4x = (48 + 12x) + -3

Reorder the terms:
26 + -4x = 48 + -3 + 12x

Combine like terms: 48 + -3 = 45
26 + -4x = 45 + 12x

Solving
26 + -4x = 45 + 12x

Solving for variable 'x'.

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

Add '-12x' to each side of the equation.
26 + -4x + -12x = 45 + 12x + -12x

Combine like terms: -4x + -12x = -16x
26 + -16x = 45 + 12x + -12x

Combine like terms: 12x + -12x = 0
26 + -16x = 45 + 0
26 + -16x = 45

Add '-26' to each side of the equation.
26 + -26 + -16x = 45 + -26

Combine like terms: 26 + -26 = 0
0 + -16x = 45 + -26
-16x = 45 + -26

Combine like terms: 45 + -26 = 19
-16x = 19

Divide each side by '-16'.
x = -1.1875

Simplifying
x = -1.1875

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