10(x+4)-3(x-3)=3(x-3)+3(x-4)

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


Simplifying
10(x + 4) + -3(x + -3) = 3(x + -3) + 3(x + -4)

Reorder the terms:
10(4 + x) + -3(x + -3) = 3(x + -3) + 3(x + -4)
(4 * 10 + x * 10) + -3(x + -3) = 3(x + -3) + 3(x + -4)
(40 + 10x) + -3(x + -3) = 3(x + -3) + 3(x + -4)

Reorder the terms:
40 + 10x + -3(-3 + x) = 3(x + -3) + 3(x + -4)
40 + 10x + (-3 * -3 + x * -3) = 3(x + -3) + 3(x + -4)
40 + 10x + (9 + -3x) = 3(x + -3) + 3(x + -4)

Reorder the terms:
40 + 9 + 10x + -3x = 3(x + -3) + 3(x + -4)

Combine like terms: 40 + 9 = 49
49 + 10x + -3x = 3(x + -3) + 3(x + -4)

Combine like terms: 10x + -3x = 7x
49 + 7x = 3(x + -3) + 3(x + -4)

Reorder the terms:
49 + 7x = 3(-3 + x) + 3(x + -4)
49 + 7x = (-3 * 3 + x * 3) + 3(x + -4)
49 + 7x = (-9 + 3x) + 3(x + -4)

Reorder the terms:
49 + 7x = -9 + 3x + 3(-4 + x)
49 + 7x = -9 + 3x + (-4 * 3 + x * 3)
49 + 7x = -9 + 3x + (-12 + 3x)

Reorder the terms:
49 + 7x = -9 + -12 + 3x + 3x

Combine like terms: -9 + -12 = -21
49 + 7x = -21 + 3x + 3x

Combine like terms: 3x + 3x = 6x
49 + 7x = -21 + 6x

Solving
49 + 7x = -21 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
49 + 7x + -6x = -21 + 6x + -6x

Combine like terms: 7x + -6x = 1x
49 + 1x = -21 + 6x + -6x

Combine like terms: 6x + -6x = 0
49 + 1x = -21 + 0
49 + 1x = -21

Add '-49' to each side of the equation.
49 + -49 + 1x = -21 + -49

Combine like terms: 49 + -49 = 0
0 + 1x = -21 + -49
1x = -21 + -49

Combine like terms: -21 + -49 = -70
1x = -70

Divide each side by '1'.
x = -70

Simplifying
x = -70

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