10-2x=1000-2(100)+4(10)-2(2)+20(200)-3(20)+6(50)+8(30)+4(40)

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Solution for 10-2x=1000-2(100)+4(10)-2(2)+20(200)-3(20)+6(50)+8(30)+4(40) equation: 


Simplifying
10 + -2x = 1000 + -2(100) + 4(10) + -2(2) + 20(200) + -3(20) + 6(50) + 8(30) + 4(40)

Multiply -2 * 100
10 + -2x = 1000 + -200 + 4(10) + -2(2) + 20(200) + -3(20) + 6(50) + 8(30) + 4(40)

Multiply 4 * 10
10 + -2x = 1000 + -200 + 40 + -2(2) + 20(200) + -3(20) + 6(50) + 8(30) + 4(40)

Multiply -2 * 2
10 + -2x = 1000 + -200 + 40 + -4 + 20(200) + -3(20) + 6(50) + 8(30) + 4(40)

Multiply 20 * 200
10 + -2x = 1000 + -200 + 40 + -4 + 4000 + -3(20) + 6(50) + 8(30) + 4(40)

Multiply -3 * 20
10 + -2x = 1000 + -200 + 40 + -4 + 4000 + -60 + 6(50) + 8(30) + 4(40)

Multiply 6 * 50
10 + -2x = 1000 + -200 + 40 + -4 + 4000 + -60 + 300 + 8(30) + 4(40)

Multiply 8 * 30
10 + -2x = 1000 + -200 + 40 + -4 + 4000 + -60 + 300 + 240 + 4(40)

Multiply 4 * 40
10 + -2x = 1000 + -200 + 40 + -4 + 4000 + -60 + 300 + 240 + 160

Combine like terms: 1000 + -200 = 800
10 + -2x = 800 + 40 + -4 + 4000 + -60 + 300 + 240 + 160

Combine like terms: 800 + 40 = 840
10 + -2x = 840 + -4 + 4000 + -60 + 300 + 240 + 160

Combine like terms: 840 + -4 = 836
10 + -2x = 836 + 4000 + -60 + 300 + 240 + 160

Combine like terms: 836 + 4000 = 4836
10 + -2x = 4836 + -60 + 300 + 240 + 160

Combine like terms: 4836 + -60 = 4776
10 + -2x = 4776 + 300 + 240 + 160

Combine like terms: 4776 + 300 = 5076
10 + -2x = 5076 + 240 + 160

Combine like terms: 5076 + 240 = 5316
10 + -2x = 5316 + 160

Combine like terms: 5316 + 160 = 5476
10 + -2x = 5476

Solving
10 + -2x = 5476

Solving for variable 'x'.

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

Add '-10' to each side of the equation.
10 + -10 + -2x = 5476 + -10

Combine like terms: 10 + -10 = 0
0 + -2x = 5476 + -10
-2x = 5476 + -10

Combine like terms: 5476 + -10 = 5466
-2x = 5466

Divide each side by '-2'.
x = -2733

Simplifying
x = -2733

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