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

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


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

Reorder the terms:
8x + -3(-5 + x) = 3(x + -1) + 4
8x + (-5 * -3 + x * -3) = 3(x + -1) + 4
8x + (15 + -3x) = 3(x + -1) + 4

Reorder the terms:
15 + 8x + -3x = 3(x + -1) + 4

Combine like terms: 8x + -3x = 5x
15 + 5x = 3(x + -1) + 4

Reorder the terms:
15 + 5x = 3(-1 + x) + 4
15 + 5x = (-1 * 3 + x * 3) + 4
15 + 5x = (-3 + 3x) + 4

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

Combine like terms: -3 + 4 = 1
15 + 5x = 1 + 3x

Solving
15 + 5x = 1 + 3x

Solving for variable 'x'.

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

Add '-3x' to each side of the equation.
15 + 5x + -3x = 1 + 3x + -3x

Combine like terms: 5x + -3x = 2x
15 + 2x = 1 + 3x + -3x

Combine like terms: 3x + -3x = 0
15 + 2x = 1 + 0
15 + 2x = 1

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

Combine like terms: 15 + -15 = 0
0 + 2x = 1 + -15
2x = 1 + -15

Combine like terms: 1 + -15 = -14
2x = -14

Divide each side by '2'.
x = -7

Simplifying
x = -7

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