4(3x+5)-6(3x-7)=10x+3(4x-7)

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Solution for 4(3x+5)-6(3x-7)=10x+3(4x-7) equation: 


Simplifying
4(3x + 5) + -6(3x + -7) = 10x + 3(4x + -7)

Reorder the terms:
4(5 + 3x) + -6(3x + -7) = 10x + 3(4x + -7)
(5 * 4 + 3x * 4) + -6(3x + -7) = 10x + 3(4x + -7)
(20 + 12x) + -6(3x + -7) = 10x + 3(4x + -7)

Reorder the terms:
20 + 12x + -6(-7 + 3x) = 10x + 3(4x + -7)
20 + 12x + (-7 * -6 + 3x * -6) = 10x + 3(4x + -7)
20 + 12x + (42 + -18x) = 10x + 3(4x + -7)

Reorder the terms:
20 + 42 + 12x + -18x = 10x + 3(4x + -7)

Combine like terms: 20 + 42 = 62
62 + 12x + -18x = 10x + 3(4x + -7)

Combine like terms: 12x + -18x = -6x
62 + -6x = 10x + 3(4x + -7)

Reorder the terms:
62 + -6x = 10x + 3(-7 + 4x)
62 + -6x = 10x + (-7 * 3 + 4x * 3)
62 + -6x = 10x + (-21 + 12x)

Reorder the terms:
62 + -6x = -21 + 10x + 12x

Combine like terms: 10x + 12x = 22x
62 + -6x = -21 + 22x

Solving
62 + -6x = -21 + 22x

Solving for variable 'x'.

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

Add '-22x' to each side of the equation.
62 + -6x + -22x = -21 + 22x + -22x

Combine like terms: -6x + -22x = -28x
62 + -28x = -21 + 22x + -22x

Combine like terms: 22x + -22x = 0
62 + -28x = -21 + 0
62 + -28x = -21

Add '-62' to each side of the equation.
62 + -62 + -28x = -21 + -62

Combine like terms: 62 + -62 = 0
0 + -28x = -21 + -62
-28x = -21 + -62

Combine like terms: -21 + -62 = -83
-28x = -83

Divide each side by '-28'.
x = 2.964285714

Simplifying
x = 2.964285714

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