-4x+3x+2=7-5(x+6)+8

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Solution for -4x+3x+2=7-5(x+6)+8 equation:


Simplifying
-4x + 3x + 2 = 7 + -5(x + 6) + 8

Reorder the terms:
2 + -4x + 3x = 7 + -5(x + 6) + 8

Combine like terms: -4x + 3x = -1x
2 + -1x = 7 + -5(x + 6) + 8

Reorder the terms:
2 + -1x = 7 + -5(6 + x) + 8
2 + -1x = 7 + (6 * -5 + x * -5) + 8
2 + -1x = 7 + (-30 + -5x) + 8

Reorder the terms:
2 + -1x = 7 + -30 + 8 + -5x

Combine like terms: 7 + -30 = -23
2 + -1x = -23 + 8 + -5x

Combine like terms: -23 + 8 = -15
2 + -1x = -15 + -5x

Solving
2 + -1x = -15 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
2 + -1x + 5x = -15 + -5x + 5x

Combine like terms: -1x + 5x = 4x
2 + 4x = -15 + -5x + 5x

Combine like terms: -5x + 5x = 0
2 + 4x = -15 + 0
2 + 4x = -15

Add '-2' to each side of the equation.
2 + -2 + 4x = -15 + -2

Combine like terms: 2 + -2 = 0
0 + 4x = -15 + -2
4x = -15 + -2

Combine like terms: -15 + -2 = -17
4x = -17

Divide each side by '4'.
x = -4.25

Simplifying
x = -4.25

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