14X+13=-8(-2X+5)-7

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Solution for 14X+13=-8(-2X+5)-7 equation: 


Simplifying
14X + 13 = -8(-2X + 5) + -7

Reorder the terms:
13 + 14X = -8(-2X + 5) + -7

Reorder the terms:
13 + 14X = -8(5 + -2X) + -7
13 + 14X = (5 * -8 + -2X * -8) + -7
13 + 14X = (-40 + 16X) + -7

Reorder the terms:
13 + 14X = -40 + -7 + 16X

Combine like terms: -40 + -7 = -47
13 + 14X = -47 + 16X

Solving
13 + 14X = -47 + 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.
13 + 14X + -16X = -47 + 16X + -16X

Combine like terms: 14X + -16X = -2X
13 + -2X = -47 + 16X + -16X

Combine like terms: 16X + -16X = 0
13 + -2X = -47 + 0
13 + -2X = -47

Add '-13' to each side of the equation.
13 + -13 + -2X = -47 + -13

Combine like terms: 13 + -13 = 0
0 + -2X = -47 + -13
-2X = -47 + -13

Combine like terms: -47 + -13 = -60
-2X = -60

Divide each side by '-2'.
X = 30

Simplifying
X = 30

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