3(4x-54+76x-43y)-(54x-76)+54=1234

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Solution for 3(4x-54+76x-43y)-(54x-76)+54=1234 equation:


Simplifying
3(4x + -54 + 76x + -43y) + -1(54x + -76) + 54 = 1234

Reorder the terms:
3(-54 + 4x + 76x + -43y) + -1(54x + -76) + 54 = 1234

Combine like terms: 4x + 76x = 80x
3(-54 + 80x + -43y) + -1(54x + -76) + 54 = 1234
(-54 * 3 + 80x * 3 + -43y * 3) + -1(54x + -76) + 54 = 1234
(-162 + 240x + -129y) + -1(54x + -76) + 54 = 1234

Reorder the terms:
-162 + 240x + -129y + -1(-76 + 54x) + 54 = 1234
-162 + 240x + -129y + (-76 * -1 + 54x * -1) + 54 = 1234
-162 + 240x + -129y + (76 + -54x) + 54 = 1234

Reorder the terms:
-162 + 76 + 54 + 240x + -54x + -129y = 1234

Combine like terms: -162 + 76 = -86
-86 + 54 + 240x + -54x + -129y = 1234

Combine like terms: -86 + 54 = -32
-32 + 240x + -54x + -129y = 1234

Combine like terms: 240x + -54x = 186x
-32 + 186x + -129y = 1234

Solving
-32 + 186x + -129y = 1234

Solving for variable 'x'.

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

Add '32' to each side of the equation.
-32 + 186x + 32 + -129y = 1234 + 32

Reorder the terms:
-32 + 32 + 186x + -129y = 1234 + 32

Combine like terms: -32 + 32 = 0
0 + 186x + -129y = 1234 + 32
186x + -129y = 1234 + 32

Combine like terms: 1234 + 32 = 1266
186x + -129y = 1266

Add '129y' to each side of the equation.
186x + -129y + 129y = 1266 + 129y

Combine like terms: -129y + 129y = 0
186x + 0 = 1266 + 129y
186x = 1266 + 129y

Divide each side by '186'.
x = 6.806451613 + 0.6935483871y

Simplifying
x = 6.806451613 + 0.6935483871y

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