3(x+4)-4(x+3)=7x+16

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Solution for 3(x+4)-4(x+3)=7x+16 equation: 


Simplifying
3(x + 4) + -4(x + 3) = 7x + 16

Reorder the terms:
3(4 + x) + -4(x + 3) = 7x + 16
(4 * 3 + x * 3) + -4(x + 3) = 7x + 16
(12 + 3x) + -4(x + 3) = 7x + 16

Reorder the terms:
12 + 3x + -4(3 + x) = 7x + 16
12 + 3x + (3 * -4 + x * -4) = 7x + 16
12 + 3x + (-12 + -4x) = 7x + 16

Reorder the terms:
12 + -12 + 3x + -4x = 7x + 16

Combine like terms: 12 + -12 = 0
0 + 3x + -4x = 7x + 16
3x + -4x = 7x + 16

Combine like terms: 3x + -4x = -1x
-1x = 7x + 16

Reorder the terms:
-1x = 16 + 7x

Solving
-1x = 16 + 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.
-1x + -7x = 16 + 7x + -7x

Combine like terms: -1x + -7x = -8x
-8x = 16 + 7x + -7x

Combine like terms: 7x + -7x = 0
-8x = 16 + 0
-8x = 16

Divide each side by '-8'.
x = -2

Simplifying
x = -2

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