4(8x-7)-10(10-8x)+3(-3x+9)=-8(6-7x)

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Solution for 4(8x-7)-10(10-8x)+3(-3x+9)=-8(6-7x) equation:


Simplifying
4(8x + -7) + -10(10 + -8x) + 3(-3x + 9) = -8(6 + -7x)

Reorder the terms:
4(-7 + 8x) + -10(10 + -8x) + 3(-3x + 9) = -8(6 + -7x)
(-7 * 4 + 8x * 4) + -10(10 + -8x) + 3(-3x + 9) = -8(6 + -7x)
(-28 + 32x) + -10(10 + -8x) + 3(-3x + 9) = -8(6 + -7x)
-28 + 32x + (10 * -10 + -8x * -10) + 3(-3x + 9) = -8(6 + -7x)
-28 + 32x + (-100 + 80x) + 3(-3x + 9) = -8(6 + -7x)

Reorder the terms:
-28 + 32x + -100 + 80x + 3(9 + -3x) = -8(6 + -7x)
-28 + 32x + -100 + 80x + (9 * 3 + -3x * 3) = -8(6 + -7x)
-28 + 32x + -100 + 80x + (27 + -9x) = -8(6 + -7x)

Reorder the terms:
-28 + -100 + 27 + 32x + 80x + -9x = -8(6 + -7x)

Combine like terms: -28 + -100 = -128
-128 + 27 + 32x + 80x + -9x = -8(6 + -7x)

Combine like terms: -128 + 27 = -101
-101 + 32x + 80x + -9x = -8(6 + -7x)

Combine like terms: 32x + 80x = 112x
-101 + 112x + -9x = -8(6 + -7x)

Combine like terms: 112x + -9x = 103x
-101 + 103x = -8(6 + -7x)
-101 + 103x = (6 * -8 + -7x * -8)
-101 + 103x = (-48 + 56x)

Solving
-101 + 103x = -48 + 56x

Solving for variable 'x'.

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

Add '-56x' to each side of the equation.
-101 + 103x + -56x = -48 + 56x + -56x

Combine like terms: 103x + -56x = 47x
-101 + 47x = -48 + 56x + -56x

Combine like terms: 56x + -56x = 0
-101 + 47x = -48 + 0
-101 + 47x = -48

Add '101' to each side of the equation.
-101 + 101 + 47x = -48 + 101

Combine like terms: -101 + 101 = 0
0 + 47x = -48 + 101
47x = -48 + 101

Combine like terms: -48 + 101 = 53
47x = 53

Divide each side by '47'.
x = 1.127659574

Simplifying
x = 1.127659574

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