4x-7-8(x+1)=5x+3

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Solution for 4x-7-8(x+1)=5x+3 equation:


Simplifying
4x + -7 + -8(x + 1) = 5x + 3

Reorder the terms:
4x + -7 + -8(1 + x) = 5x + 3
4x + -7 + (1 * -8 + x * -8) = 5x + 3
4x + -7 + (-8 + -8x) = 5x + 3

Reorder the terms:
-7 + -8 + 4x + -8x = 5x + 3

Combine like terms: -7 + -8 = -15
-15 + 4x + -8x = 5x + 3

Combine like terms: 4x + -8x = -4x
-15 + -4x = 5x + 3

Reorder the terms:
-15 + -4x = 3 + 5x

Solving
-15 + -4x = 3 + 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.
-15 + -4x + -5x = 3 + 5x + -5x

Combine like terms: -4x + -5x = -9x
-15 + -9x = 3 + 5x + -5x

Combine like terms: 5x + -5x = 0
-15 + -9x = 3 + 0
-15 + -9x = 3

Add '15' to each side of the equation.
-15 + 15 + -9x = 3 + 15

Combine like terms: -15 + 15 = 0
0 + -9x = 3 + 15
-9x = 3 + 15

Combine like terms: 3 + 15 = 18
-9x = 18

Divide each side by '-9'.
x = -2

Simplifying
x = -2

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