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

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


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

Reorder the terms:
-4(-2 + x) + 3(4x + 2) = 4x + 7
(-2 * -4 + x * -4) + 3(4x + 2) = 4x + 7
(8 + -4x) + 3(4x + 2) = 4x + 7

Reorder the terms:
8 + -4x + 3(2 + 4x) = 4x + 7
8 + -4x + (2 * 3 + 4x * 3) = 4x + 7
8 + -4x + (6 + 12x) = 4x + 7

Reorder the terms:
8 + 6 + -4x + 12x = 4x + 7

Combine like terms: 8 + 6 = 14
14 + -4x + 12x = 4x + 7

Combine like terms: -4x + 12x = 8x
14 + 8x = 4x + 7

Reorder the terms:
14 + 8x = 7 + 4x

Solving
14 + 8x = 7 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
14 + 8x + -4x = 7 + 4x + -4x

Combine like terms: 8x + -4x = 4x
14 + 4x = 7 + 4x + -4x

Combine like terms: 4x + -4x = 0
14 + 4x = 7 + 0
14 + 4x = 7

Add '-14' to each side of the equation.
14 + -14 + 4x = 7 + -14

Combine like terms: 14 + -14 = 0
0 + 4x = 7 + -14
4x = 7 + -14

Combine like terms: 7 + -14 = -7
4x = -7

Divide each side by '4'.
x = -1.75

Simplifying
x = -1.75

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