21(8x-5)-84=8(4x+6)

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Solution for 21(8x-5)-84=8(4x+6) equation:


Simplifying
21(8x + -5) + -84 = 8(4x + 6)

Reorder the terms:
21(-5 + 8x) + -84 = 8(4x + 6)
(-5 * 21 + 8x * 21) + -84 = 8(4x + 6)
(-105 + 168x) + -84 = 8(4x + 6)

Reorder the terms:
-105 + -84 + 168x = 8(4x + 6)

Combine like terms: -105 + -84 = -189
-189 + 168x = 8(4x + 6)

Reorder the terms:
-189 + 168x = 8(6 + 4x)
-189 + 168x = (6 * 8 + 4x * 8)
-189 + 168x = (48 + 32x)

Solving
-189 + 168x = 48 + 32x

Solving for variable 'x'.

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

Add '-32x' to each side of the equation.
-189 + 168x + -32x = 48 + 32x + -32x

Combine like terms: 168x + -32x = 136x
-189 + 136x = 48 + 32x + -32x

Combine like terms: 32x + -32x = 0
-189 + 136x = 48 + 0
-189 + 136x = 48

Add '189' to each side of the equation.
-189 + 189 + 136x = 48 + 189

Combine like terms: -189 + 189 = 0
0 + 136x = 48 + 189
136x = 48 + 189

Combine like terms: 48 + 189 = 237
136x = 237

Divide each side by '136'.
x = 1.742647059

Simplifying
x = 1.742647059

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