2(x-3)+4=6x-7

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Solution for 2(x-3)+4=6x-7 equation:


Simplifying
2(x + -3) + 4 = 6x + -7

Reorder the terms:
2(-3 + x) + 4 = 6x + -7
(-3 * 2 + x * 2) + 4 = 6x + -7
(-6 + 2x) + 4 = 6x + -7

Reorder the terms:
-6 + 4 + 2x = 6x + -7

Combine like terms: -6 + 4 = -2
-2 + 2x = 6x + -7

Reorder the terms:
-2 + 2x = -7 + 6x

Solving
-2 + 2x = -7 + 6x

Solving for variable 'x'.

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

Add '-6x' to each side of the equation.
-2 + 2x + -6x = -7 + 6x + -6x

Combine like terms: 2x + -6x = -4x
-2 + -4x = -7 + 6x + -6x

Combine like terms: 6x + -6x = 0
-2 + -4x = -7 + 0
-2 + -4x = -7

Add '2' to each side of the equation.
-2 + 2 + -4x = -7 + 2

Combine like terms: -2 + 2 = 0
0 + -4x = -7 + 2
-4x = -7 + 2

Combine like terms: -7 + 2 = -5
-4x = -5

Divide each side by '-4'.
x = 1.25

Simplifying
x = 1.25

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