10(2x+7)-3(4-4x)=6(9x+1)

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Solution for 10(2x+7)-3(4-4x)=6(9x+1) equation:


Simplifying
10(2x + 7) + -3(4 + -4x) = 6(9x + 1)

Reorder the terms:
10(7 + 2x) + -3(4 + -4x) = 6(9x + 1)
(7 * 10 + 2x * 10) + -3(4 + -4x) = 6(9x + 1)
(70 + 20x) + -3(4 + -4x) = 6(9x + 1)
70 + 20x + (4 * -3 + -4x * -3) = 6(9x + 1)
70 + 20x + (-12 + 12x) = 6(9x + 1)

Reorder the terms:
70 + -12 + 20x + 12x = 6(9x + 1)

Combine like terms: 70 + -12 = 58
58 + 20x + 12x = 6(9x + 1)

Combine like terms: 20x + 12x = 32x
58 + 32x = 6(9x + 1)

Reorder the terms:
58 + 32x = 6(1 + 9x)
58 + 32x = (1 * 6 + 9x * 6)
58 + 32x = (6 + 54x)

Solving
58 + 32x = 6 + 54x

Solving for variable 'x'.

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

Add '-54x' to each side of the equation.
58 + 32x + -54x = 6 + 54x + -54x

Combine like terms: 32x + -54x = -22x
58 + -22x = 6 + 54x + -54x

Combine like terms: 54x + -54x = 0
58 + -22x = 6 + 0
58 + -22x = 6

Add '-58' to each side of the equation.
58 + -58 + -22x = 6 + -58

Combine like terms: 58 + -58 = 0
0 + -22x = 6 + -58
-22x = 6 + -58

Combine like terms: 6 + -58 = -52
-22x = -52

Divide each side by '-22'.
x = 2.363636364

Simplifying
x = 2.363636364

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