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

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


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

Reorder the terms:
-6 + 2x + 5x = 3(5x + -4) + 4

Combine like terms: 2x + 5x = 7x
-6 + 7x = 3(5x + -4) + 4

Reorder the terms:
-6 + 7x = 3(-4 + 5x) + 4
-6 + 7x = (-4 * 3 + 5x * 3) + 4
-6 + 7x = (-12 + 15x) + 4

Reorder the terms:
-6 + 7x = -12 + 4 + 15x

Combine like terms: -12 + 4 = -8
-6 + 7x = -8 + 15x

Solving
-6 + 7x = -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.
-6 + 7x + -15x = -8 + 15x + -15x

Combine like terms: 7x + -15x = -8x
-6 + -8x = -8 + 15x + -15x

Combine like terms: 15x + -15x = 0
-6 + -8x = -8 + 0
-6 + -8x = -8

Add '6' to each side of the equation.
-6 + 6 + -8x = -8 + 6

Combine like terms: -6 + 6 = 0
0 + -8x = -8 + 6
-8x = -8 + 6

Combine like terms: -8 + 6 = -2
-8x = -2

Divide each side by '-8'.
x = 0.25

Simplifying
x = 0.25

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