4(3x+5)-6(4x-7)=10x+3(4x-9)

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Solution for 4(3x+5)-6(4x-7)=10x+3(4x-9) equation:


Simplifying
4(3x + 5) + -6(4x + -7) = 10x + 3(4x + -9)

Reorder the terms:
4(5 + 3x) + -6(4x + -7) = 10x + 3(4x + -9)
(5 * 4 + 3x * 4) + -6(4x + -7) = 10x + 3(4x + -9)
(20 + 12x) + -6(4x + -7) = 10x + 3(4x + -9)

Reorder the terms:
20 + 12x + -6(-7 + 4x) = 10x + 3(4x + -9)
20 + 12x + (-7 * -6 + 4x * -6) = 10x + 3(4x + -9)
20 + 12x + (42 + -24x) = 10x + 3(4x + -9)

Reorder the terms:
20 + 42 + 12x + -24x = 10x + 3(4x + -9)

Combine like terms: 20 + 42 = 62
62 + 12x + -24x = 10x + 3(4x + -9)

Combine like terms: 12x + -24x = -12x
62 + -12x = 10x + 3(4x + -9)

Reorder the terms:
62 + -12x = 10x + 3(-9 + 4x)
62 + -12x = 10x + (-9 * 3 + 4x * 3)
62 + -12x = 10x + (-27 + 12x)

Reorder the terms:
62 + -12x = -27 + 10x + 12x

Combine like terms: 10x + 12x = 22x
62 + -12x = -27 + 22x

Solving
62 + -12x = -27 + 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 + -12x + -22x = -27 + 22x + -22x

Combine like terms: -12x + -22x = -34x
62 + -34x = -27 + 22x + -22x

Combine like terms: 22x + -22x = 0
62 + -34x = -27 + 0
62 + -34x = -27

Add '-62' to each side of the equation.
62 + -62 + -34x = -27 + -62

Combine like terms: 62 + -62 = 0
0 + -34x = -27 + -62
-34x = -27 + -62

Combine like terms: -27 + -62 = -89
-34x = -89

Divide each side by '-34'.
x = 2.617647059

Simplifying
x = 2.617647059

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