-2(5x-5)+3(4x+2)+10(10x+5)=5(12x+3)+2x-19

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Solution for -2(5x-5)+3(4x+2)+10(10x+5)=5(12x+3)+2x-19 equation: 


Simplifying
-2(5x + -5) + 3(4x + 2) + 10(10x + 5) = 5(12x + 3) + 2x + -19

Reorder the terms:
-2(-5 + 5x) + 3(4x + 2) + 10(10x + 5) = 5(12x + 3) + 2x + -19
(-5 * -2 + 5x * -2) + 3(4x + 2) + 10(10x + 5) = 5(12x + 3) + 2x + -19
(10 + -10x) + 3(4x + 2) + 10(10x + 5) = 5(12x + 3) + 2x + -19

Reorder the terms:
10 + -10x + 3(2 + 4x) + 10(10x + 5) = 5(12x + 3) + 2x + -19
10 + -10x + (2 * 3 + 4x * 3) + 10(10x + 5) = 5(12x + 3) + 2x + -19
10 + -10x + (6 + 12x) + 10(10x + 5) = 5(12x + 3) + 2x + -19

Reorder the terms:
10 + -10x + 6 + 12x + 10(5 + 10x) = 5(12x + 3) + 2x + -19
10 + -10x + 6 + 12x + (5 * 10 + 10x * 10) = 5(12x + 3) + 2x + -19
10 + -10x + 6 + 12x + (50 + 100x) = 5(12x + 3) + 2x + -19

Reorder the terms:
10 + 6 + 50 + -10x + 12x + 100x = 5(12x + 3) + 2x + -19

Combine like terms: 10 + 6 = 16
16 + 50 + -10x + 12x + 100x = 5(12x + 3) + 2x + -19

Combine like terms: 16 + 50 = 66
66 + -10x + 12x + 100x = 5(12x + 3) + 2x + -19

Combine like terms: -10x + 12x = 2x
66 + 2x + 100x = 5(12x + 3) + 2x + -19

Combine like terms: 2x + 100x = 102x
66 + 102x = 5(12x + 3) + 2x + -19

Reorder the terms:
66 + 102x = 5(3 + 12x) + 2x + -19
66 + 102x = (3 * 5 + 12x * 5) + 2x + -19
66 + 102x = (15 + 60x) + 2x + -19

Reorder the terms:
66 + 102x = 15 + -19 + 60x + 2x

Combine like terms: 15 + -19 = -4
66 + 102x = -4 + 60x + 2x

Combine like terms: 60x + 2x = 62x
66 + 102x = -4 + 62x

Solving
66 + 102x = -4 + 62x

Solving for variable 'x'.

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

Add '-62x' to each side of the equation.
66 + 102x + -62x = -4 + 62x + -62x

Combine like terms: 102x + -62x = 40x
66 + 40x = -4 + 62x + -62x

Combine like terms: 62x + -62x = 0
66 + 40x = -4 + 0
66 + 40x = -4

Add '-66' to each side of the equation.
66 + -66 + 40x = -4 + -66

Combine like terms: 66 + -66 = 0
0 + 40x = -4 + -66
40x = -4 + -66

Combine like terms: -4 + -66 = -70
40x = -70

Divide each side by '40'.
x = -1.75

Simplifying
x = -1.75

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