4(10+2x)-3(4x+1)+3=6(2x+8)-4(2x+10)

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Solution for 4(10+2x)-3(4x+1)+3=6(2x+8)-4(2x+10) equation: 


Simplifying
4(10 + 2x) + -3(4x + 1) + 3 = 6(2x + 8) + -4(2x + 10)
(10 * 4 + 2x * 4) + -3(4x + 1) + 3 = 6(2x + 8) + -4(2x + 10)
(40 + 8x) + -3(4x + 1) + 3 = 6(2x + 8) + -4(2x + 10)

Reorder the terms:
40 + 8x + -3(1 + 4x) + 3 = 6(2x + 8) + -4(2x + 10)
40 + 8x + (1 * -3 + 4x * -3) + 3 = 6(2x + 8) + -4(2x + 10)
40 + 8x + (-3 + -12x) + 3 = 6(2x + 8) + -4(2x + 10)

Reorder the terms:
40 + -3 + 3 + 8x + -12x = 6(2x + 8) + -4(2x + 10)

Combine like terms: 40 + -3 = 37
37 + 3 + 8x + -12x = 6(2x + 8) + -4(2x + 10)

Combine like terms: 37 + 3 = 40
40 + 8x + -12x = 6(2x + 8) + -4(2x + 10)

Combine like terms: 8x + -12x = -4x
40 + -4x = 6(2x + 8) + -4(2x + 10)

Reorder the terms:
40 + -4x = 6(8 + 2x) + -4(2x + 10)
40 + -4x = (8 * 6 + 2x * 6) + -4(2x + 10)
40 + -4x = (48 + 12x) + -4(2x + 10)

Reorder the terms:
40 + -4x = 48 + 12x + -4(10 + 2x)
40 + -4x = 48 + 12x + (10 * -4 + 2x * -4)
40 + -4x = 48 + 12x + (-40 + -8x)

Reorder the terms:
40 + -4x = 48 + -40 + 12x + -8x

Combine like terms: 48 + -40 = 8
40 + -4x = 8 + 12x + -8x

Combine like terms: 12x + -8x = 4x
40 + -4x = 8 + 4x

Solving
40 + -4x = 8 + 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.
40 + -4x + -4x = 8 + 4x + -4x

Combine like terms: -4x + -4x = -8x
40 + -8x = 8 + 4x + -4x

Combine like terms: 4x + -4x = 0
40 + -8x = 8 + 0
40 + -8x = 8

Add '-40' to each side of the equation.
40 + -40 + -8x = 8 + -40

Combine like terms: 40 + -40 = 0
0 + -8x = 8 + -40
-8x = 8 + -40

Combine like terms: 8 + -40 = -32
-8x = -32

Divide each side by '-8'.
x = 4

Simplifying
x = 4

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