4(2x-1)+6(9x-2)=3(5x-4)+4

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Solution for 4(2x-1)+6(9x-2)=3(5x-4)+4 equation:


Simplifying
4(2x + -1) + 6(9x + -2) = 3(5x + -4) + 4

Reorder the terms:
4(-1 + 2x) + 6(9x + -2) = 3(5x + -4) + 4
(-1 * 4 + 2x * 4) + 6(9x + -2) = 3(5x + -4) + 4
(-4 + 8x) + 6(9x + -2) = 3(5x + -4) + 4

Reorder the terms:
-4 + 8x + 6(-2 + 9x) = 3(5x + -4) + 4
-4 + 8x + (-2 * 6 + 9x * 6) = 3(5x + -4) + 4
-4 + 8x + (-12 + 54x) = 3(5x + -4) + 4

Reorder the terms:
-4 + -12 + 8x + 54x = 3(5x + -4) + 4

Combine like terms: -4 + -12 = -16
-16 + 8x + 54x = 3(5x + -4) + 4

Combine like terms: 8x + 54x = 62x
-16 + 62x = 3(5x + -4) + 4

Reorder the terms:
-16 + 62x = 3(-4 + 5x) + 4
-16 + 62x = (-4 * 3 + 5x * 3) + 4
-16 + 62x = (-12 + 15x) + 4

Reorder the terms:
-16 + 62x = -12 + 4 + 15x

Combine like terms: -12 + 4 = -8
-16 + 62x = -8 + 15x

Solving
-16 + 62x = -8 + 15x

Solving for variable 'x'.

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

Add '-15x' to each side of the equation.
-16 + 62x + -15x = -8 + 15x + -15x

Combine like terms: 62x + -15x = 47x
-16 + 47x = -8 + 15x + -15x

Combine like terms: 15x + -15x = 0
-16 + 47x = -8 + 0
-16 + 47x = -8

Add '16' to each side of the equation.
-16 + 16 + 47x = -8 + 16

Combine like terms: -16 + 16 = 0
0 + 47x = -8 + 16
47x = -8 + 16

Combine like terms: -8 + 16 = 8
47x = 8

Divide each side by '47'.
x = 0.170212766

Simplifying
x = 0.170212766

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