8x-7=-4(3-4x)+14

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Solution for 8x-7=-4(3-4x)+14 equation:


Simplifying
8x + -7 = -4(3 + -4x) + 14

Reorder the terms:
-7 + 8x = -4(3 + -4x) + 14
-7 + 8x = (3 * -4 + -4x * -4) + 14
-7 + 8x = (-12 + 16x) + 14

Reorder the terms:
-7 + 8x = -12 + 14 + 16x

Combine like terms: -12 + 14 = 2
-7 + 8x = 2 + 16x

Solving
-7 + 8x = 2 + 16x

Solving for variable 'x'.

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

Add '-16x' to each side of the equation.
-7 + 8x + -16x = 2 + 16x + -16x

Combine like terms: 8x + -16x = -8x
-7 + -8x = 2 + 16x + -16x

Combine like terms: 16x + -16x = 0
-7 + -8x = 2 + 0
-7 + -8x = 2

Add '7' to each side of the equation.
-7 + 7 + -8x = 2 + 7

Combine like terms: -7 + 7 = 0
0 + -8x = 2 + 7
-8x = 2 + 7

Combine like terms: 2 + 7 = 9
-8x = 9

Divide each side by '-8'.
x = -1.125

Simplifying
x = -1.125

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