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

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


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

Reorder the terms:
8x + -3(-5 + 3x) = 4(x + -7)
8x + (-5 * -3 + 3x * -3) = 4(x + -7)
8x + (15 + -9x) = 4(x + -7)

Reorder the terms:
15 + 8x + -9x = 4(x + -7)

Combine like terms: 8x + -9x = -1x
15 + -1x = 4(x + -7)

Reorder the terms:
15 + -1x = 4(-7 + x)
15 + -1x = (-7 * 4 + x * 4)
15 + -1x = (-28 + 4x)

Solving
15 + -1x = -28 + 4x

Solving for variable 'x'.

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

Add '-4x' to each side of the equation.
15 + -1x + -4x = -28 + 4x + -4x

Combine like terms: -1x + -4x = -5x
15 + -5x = -28 + 4x + -4x

Combine like terms: 4x + -4x = 0
15 + -5x = -28 + 0
15 + -5x = -28

Add '-15' to each side of the equation.
15 + -15 + -5x = -28 + -15

Combine like terms: 15 + -15 = 0
0 + -5x = -28 + -15
-5x = -28 + -15

Combine like terms: -28 + -15 = -43
-5x = -43

Divide each side by '-5'.
x = 8.6

Simplifying
x = 8.6

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