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

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


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

Reorder the terms:
4x + 7 + -3(3 + 2x) = 4(3x + -4) + -7x + 7
4x + 7 + (3 * -3 + 2x * -3) = 4(3x + -4) + -7x + 7
4x + 7 + (-9 + -6x) = 4(3x + -4) + -7x + 7

Reorder the terms:
7 + -9 + 4x + -6x = 4(3x + -4) + -7x + 7

Combine like terms: 7 + -9 = -2
-2 + 4x + -6x = 4(3x + -4) + -7x + 7

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

Reorder the terms:
-2 + -2x = 4(-4 + 3x) + -7x + 7
-2 + -2x = (-4 * 4 + 3x * 4) + -7x + 7
-2 + -2x = (-16 + 12x) + -7x + 7

Reorder the terms:
-2 + -2x = -16 + 7 + 12x + -7x

Combine like terms: -16 + 7 = -9
-2 + -2x = -9 + 12x + -7x

Combine like terms: 12x + -7x = 5x
-2 + -2x = -9 + 5x

Solving
-2 + -2x = -9 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
-2 + -2x + -5x = -9 + 5x + -5x

Combine like terms: -2x + -5x = -7x
-2 + -7x = -9 + 5x + -5x

Combine like terms: 5x + -5x = 0
-2 + -7x = -9 + 0
-2 + -7x = -9

Add '2' to each side of the equation.
-2 + 2 + -7x = -9 + 2

Combine like terms: -2 + 2 = 0
0 + -7x = -9 + 2
-7x = -9 + 2

Combine like terms: -9 + 2 = -7
-7x = -7

Divide each side by '-7'.
x = 1

Simplifying
x = 1

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