5(x+4)-6(x-7)+3(2x+9)=4(x+20)+10

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Solution for 5(x+4)-6(x-7)+3(2x+9)=4(x+20)+10 equation: 


Simplifying
5(x + 4) + -6(x + -7) + 3(2x + 9) = 4(x + 20) + 10

Reorder the terms:
5(4 + x) + -6(x + -7) + 3(2x + 9) = 4(x + 20) + 10
(4 * 5 + x * 5) + -6(x + -7) + 3(2x + 9) = 4(x + 20) + 10
(20 + 5x) + -6(x + -7) + 3(2x + 9) = 4(x + 20) + 10

Reorder the terms:
20 + 5x + -6(-7 + x) + 3(2x + 9) = 4(x + 20) + 10
20 + 5x + (-7 * -6 + x * -6) + 3(2x + 9) = 4(x + 20) + 10
20 + 5x + (42 + -6x) + 3(2x + 9) = 4(x + 20) + 10

Reorder the terms:
20 + 5x + 42 + -6x + 3(9 + 2x) = 4(x + 20) + 10
20 + 5x + 42 + -6x + (9 * 3 + 2x * 3) = 4(x + 20) + 10
20 + 5x + 42 + -6x + (27 + 6x) = 4(x + 20) + 10

Reorder the terms:
20 + 42 + 27 + 5x + -6x + 6x = 4(x + 20) + 10

Combine like terms: 20 + 42 = 62
62 + 27 + 5x + -6x + 6x = 4(x + 20) + 10

Combine like terms: 62 + 27 = 89
89 + 5x + -6x + 6x = 4(x + 20) + 10

Combine like terms: 5x + -6x = -1x
89 + -1x + 6x = 4(x + 20) + 10

Combine like terms: -1x + 6x = 5x
89 + 5x = 4(x + 20) + 10

Reorder the terms:
89 + 5x = 4(20 + x) + 10
89 + 5x = (20 * 4 + x * 4) + 10
89 + 5x = (80 + 4x) + 10

Reorder the terms:
89 + 5x = 80 + 10 + 4x

Combine like terms: 80 + 10 = 90
89 + 5x = 90 + 4x

Solving
89 + 5x = 90 + 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.
89 + 5x + -4x = 90 + 4x + -4x

Combine like terms: 5x + -4x = 1x
89 + 1x = 90 + 4x + -4x

Combine like terms: 4x + -4x = 0
89 + 1x = 90 + 0
89 + 1x = 90

Add '-89' to each side of the equation.
89 + -89 + 1x = 90 + -89

Combine like terms: 89 + -89 = 0
0 + 1x = 90 + -89
1x = 90 + -89

Combine like terms: 90 + -89 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

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