5(2x+11)=3(x+21)+2(8x-4)-9x

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Solution for 5(2x+11)=3(x+21)+2(8x-4)-9x equation:


Simplifying
5(2x + 11) = 3(x + 21) + 2(8x + -4) + -9x

Reorder the terms:
5(11 + 2x) = 3(x + 21) + 2(8x + -4) + -9x
(11 * 5 + 2x * 5) = 3(x + 21) + 2(8x + -4) + -9x
(55 + 10x) = 3(x + 21) + 2(8x + -4) + -9x

Reorder the terms:
55 + 10x = 3(21 + x) + 2(8x + -4) + -9x
55 + 10x = (21 * 3 + x * 3) + 2(8x + -4) + -9x
55 + 10x = (63 + 3x) + 2(8x + -4) + -9x

Reorder the terms:
55 + 10x = 63 + 3x + 2(-4 + 8x) + -9x
55 + 10x = 63 + 3x + (-4 * 2 + 8x * 2) + -9x
55 + 10x = 63 + 3x + (-8 + 16x) + -9x

Reorder the terms:
55 + 10x = 63 + -8 + 3x + 16x + -9x

Combine like terms: 63 + -8 = 55
55 + 10x = 55 + 3x + 16x + -9x

Combine like terms: 3x + 16x = 19x
55 + 10x = 55 + 19x + -9x

Combine like terms: 19x + -9x = 10x
55 + 10x = 55 + 10x

Add '-55' to each side of the equation.
55 + -55 + 10x = 55 + -55 + 10x

Combine like terms: 55 + -55 = 0
0 + 10x = 55 + -55 + 10x
10x = 55 + -55 + 10x

Combine like terms: 55 + -55 = 0
10x = 0 + 10x
10x = 10x

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

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

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

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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