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

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


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

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

Reorder the terms:
7 + 4x = 6(-2 + x) + -3
7 + 4x = (-2 * 6 + x * 6) + -3
7 + 4x = (-12 + 6x) + -3

Reorder the terms:
7 + 4x = -12 + -3 + 6x

Combine like terms: -12 + -3 = -15
7 + 4x = -15 + 6x

Solving
7 + 4x = -15 + 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.
7 + 4x + -6x = -15 + 6x + -6x

Combine like terms: 4x + -6x = -2x
7 + -2x = -15 + 6x + -6x

Combine like terms: 6x + -6x = 0
7 + -2x = -15 + 0
7 + -2x = -15

Add '-7' to each side of the equation.
7 + -7 + -2x = -15 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = -15 + -7
-2x = -15 + -7

Combine like terms: -15 + -7 = -22
-2x = -22

Divide each side by '-2'.
x = 11

Simplifying
x = 11

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