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

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


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

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

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

Combine like terms: 4x + 3x = 7x
-7 + 2x = -12 + 7x

Solving
-7 + 2x = -12 + 7x

Solving for variable 'x'.

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

Add '-7x' to each side of the equation.
-7 + 2x + -7x = -12 + 7x + -7x

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

Combine like terms: 7x + -7x = 0
-7 + -5x = -12 + 0
-7 + -5x = -12

Add '7' to each side of the equation.
-7 + 7 + -5x = -12 + 7

Combine like terms: -7 + 7 = 0
0 + -5x = -12 + 7
-5x = -12 + 7

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

Divide each side by '-5'.
x = 1

Simplifying
x = 1

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